996883544160 has 1152 divisors, whose sum is σ = 4200408576000. Its totient is φ = 210133647360.

The previous prime is 996883544149. The next prime is 996883544233. The reversal of 996883544160 is 61445388699.

996883544160 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 83 + 544 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2856399666 + ... + 2856400014.

It is an arithmetic number, because the mean of its divisors is an integer number (3646188000).

Almost surely, 2^996883544160 is an apocalyptic number.

996883544160 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 996883544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100204288000).

996883544160 is an abundant number, since it is smaller than the sum of its proper divisors (3203525031840).

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

996883544160 is a wasteful number, since it uses less digits than its factorization.

996883544160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 996883544160 in words is "nine hundred ninety-six billion, eight hundred eighty-three million, five hundred forty-four thousand, one hundred sixty".