996249301920 has 576 divisors, whose sum is σ = 3652334509824. Its totient is φ = 246708633600.

The previous prime is 996249301891. The next prime is 996249301961. The reversal of 996249301920 is 29103942699.

996249301920 is a `hidden beast` number, since 9 + 9 + 6 + 249 + 301 + 92 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170266995 + ... + 170272845.

It is an arithmetic number, because the mean of its divisors is an integer number (6340858524).

Almost surely, 2^996249301920 is an apocalyptic number.

996249301920 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 996249301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826167254912).

996249301920 is an abundant number, since it is smaller than the sum of its proper divisors (2656085207904).

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

996249301920 is a wasteful number, since it uses less digits than its factorization.

996249301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 996249301920 in words is "nine hundred ninety-six billion, two hundred forty-nine million, three hundred one thousand, nine hundred twenty".