128892653568 has 1040 divisors, whose sum is σ = 487150878720. Its totient is φ = 33108590592.

The previous prime is 128892653567. The next prime is 128892653671. The reversal of 128892653568 is 865356298821.

128892653568 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 9 + 2 + 65 + 3 + 568 = 666.

It is a super-2 number, since 2×128892653568² (a number of 23 digits) contains 22 as substring.

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 (128892653563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1014902721 + ... + 1014902847.

Almost surely, 2^128892653568 is an apocalyptic number.

128892653568 is a gapful number since it is divisible by the number (18) 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 128892653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243575439360).

128892653568 is an abundant number, since it is smaller than the sum of its proper divisors (358258225152).

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

128892653568 is a wasteful number, since it uses less digits than its factorization.

128892653568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 128892653568 in words is "one hundred twenty-eight billion, eight hundred ninety-two million, six hundred fifty-three thousand, five hundred sixty-eight".