961992057600 has 648 divisors, whose sum is σ = 3995212227552. Its totient is φ = 216273715200.

The previous prime is 961992057583. The next prime is 961992057619. The reversal of 961992057600 is 6750299169.

961992057600 is a `hidden beast` number, since 9 + 6 + 1 + 9 + 9 + 20 + 5 + 7 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24575644 + ... + 24614756.

Almost surely, 2^961992057600 is an apocalyptic number.

961992057600 is a gapful number since it is divisible by the number (90) 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 961992057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997606113776).

961992057600 is an abundant number, since it is smaller than the sum of its proper divisors (3033220169952).

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

961992057600 is a wasteful number, since it uses less digits than its factorization.

961992057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39213 (or 39191 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 961992057600 in words is "nine hundred sixty-one billion, nine hundred ninety-two million, fifty-seven thousand, six hundred".