996192100800 has 1008 divisors, whose sum is σ = 4029787216000. Its totient is φ = 231383900160.

The previous prime is 996192100727. The next prime is 996192100817. The reversal of 996192100800 is 8001291699.

996192100800 is a `hidden beast` number, since 9 + 9 + 619 + 21 + 0 + 0 + 8 + 0 + 0 = 666.

996192100800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1348026831 + ... + 1348027569.

Almost surely, 2^996192100800 is an apocalyptic number.

996192100800 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 996192100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014893608000).

996192100800 is an abundant number, since it is smaller than the sum of its proper divisors (3033595115200).

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

996192100800 is a wasteful number, since it uses less digits than its factorization.

996192100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 996192100800 in words is "nine hundred ninety-six billion, one hundred ninety-two million, one hundred thousand, eight hundred".