128916051840 has 768 divisors, whose sum is σ = 486678067200. Its totient is φ = 31337349120.

The previous prime is 128916051787. The next prime is 128916051863. The reversal of 128916051840 is 48150619821.

It is a happy number.

128916051840 is a `hidden beast` number, since 1 + 2 + 8 + 91 + 6 + 0 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365201104 + ... + 365201456.

It is an arithmetic number, because the mean of its divisors is an integer number (633695400).

Almost surely, 2^128916051840 is an apocalyptic number.

128916051840 is a gapful number since it is divisible by the number (10) 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 128916051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243339033600).

128916051840 is an abundant number, since it is smaller than the sum of its proper divisors (357762015360).

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

128916051840 is a wasteful number, since it uses less digits than its factorization.

128916051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 128916051840 in words is "one hundred twenty-eight billion, nine hundred sixteen million, fifty-one thousand, eight hundred forty".