959928496128 has 780 divisors, whose sum is σ = 3367906182432. Its totient is φ = 271631646720.

The previous prime is 959928496081. The next prime is 959928496181. The reversal of 959928496128 is 821694829959.

959928496128 is a `hidden beast` number, since 9 + 5 + 9 + 9 + 2 + 8 + 496 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2227212073 + ... + 2227212503.

Almost surely, 2^959928496128 is an apocalyptic number.

959928496128 is a gapful number since it is divisible by the number (98) 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 959928496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683953091216).

959928496128 is an abundant number, since it is smaller than the sum of its proper divisors (2407977686304).

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

959928496128 is a wasteful number, since it uses less digits than its factorization.

959928496128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 580 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 959928496128 in words is "nine hundred fifty-nine billion, nine hundred twenty-eight million, four hundred ninety-six thousand, one hundred twenty-eight".