128054779776 has 384 divisors, whose sum is σ = 464979191040. Its totient is φ = 32858357760.

The previous prime is 128054779771. The next prime is 128054779781. The reversal of 128054779776 is 677977450821.

128054779776 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 5 + 477 + 97 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (128054779771) and next prime (128054779781).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×128054779776² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128054779771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7353736 + ... + 7371128.

It is an arithmetic number, because the mean of its divisors is an integer number (1210883310).

Almost surely, 2^128054779776 is an apocalyptic number.

128054779776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128054779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232489595520).

128054779776 is an abundant number, since it is smaller than the sum of its proper divisors (336924411264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128054779776 is a wasteful number, since it uses less digits than its factorization.

128054779776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17514 (or 17499 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 128054779776 in words is "one hundred twenty-eight billion, fifty-four million, seven hundred seventy-nine thousand, seven hundred seventy-six".