916991508787200 has 9984 divisors, whose sum is σ = 4672783437004800. Its totient is φ = 170559406080000.

The previous prime is 916991508787163. The next prime is 916991508787297. The reversal of 916991508787200 is 2787805199619.

It is a happy number.

916991508787200 is a `hidden beast` number, since 9 + 1 + 6 + 9 + 91 + 508 + 7 + 8 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8902830182349 + ... + 8902830182451.

It is an arithmetic number, because the mean of its divisors is an integer number (468027187200).

Almost surely, 2^{916991508787200} is an apocalyptic number.

916991508787200 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 916991508787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336391718502400).

916991508787200 is an abundant number, since it is smaller than the sum of its proper divisors (3755791928217600).

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

916991508787200 is a wasteful number, since it uses less digits than its factorization.

916991508787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 72.

The spelling of 916991508787200 in words is "nine hundred sixteen trillion, nine hundred ninety-one billion, five hundred eight million, seven hundred eighty-seven thousand, two hundred".