996152592960 has 1120 divisors, whose sum is σ = 4306556263680. Its totient is φ = 213497856000.

The previous prime is 996152592949. The next prime is 996152592971. The reversal of 996152592960 is 69295251699.

996152592960 is a `hidden beast` number, since 9 + 9 + 615 + 2 + 5 + 9 + 2 + 9 + 6 + 0 = 666.

996152592960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (996152592949) and next prime (996152592971).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 348181930 + ... + 348184790.

Almost surely, 2^996152592960 is an apocalyptic number.

996152592960 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 996152592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153278131840).

996152592960 is an abundant number, since it is smaller than the sum of its proper divisors (3310403670720).

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

996152592960 is a wasteful number, since it uses less digits than its factorization.

996152592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 996152592960 in words is "nine hundred ninety-six billion, one hundred fifty-two million, five hundred ninety-two thousand, nine hundred sixty".