996572160000 has 1120 divisors, whose sum is σ = 3777120309600. Its totient is φ = 262766592000.

The previous prime is 996572159983. The next prime is 996572160007. The reversal of 996572160000 is 61275699.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996572160007) 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, 11197439956 + ... + 11197440044.

Almost surely, 2^996572160000 is an apocalyptic number.

996572160000 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 996572160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888560154800).

996572160000 is an abundant number, since it is smaller than the sum of its proper divisors (2780548149600).

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

996572160000 is an frugal number, since it uses more digits than its factorization.

996572160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 996572160000 in words is "nine hundred ninety-six billion, five hundred seventy-two million, one hundred sixty thousand".