916715520000 has 1800 divisors, whose sum is σ = 3992200212000. Its totient is φ = 202309632000.

The previous prime is 916715519999. The next prime is 916715520011. The reversal of 916715520000 is 25517619.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-3 number, since 3×916715520000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31610879986 + ... + 31610880014.

Almost surely, 2^916715520000 is an apocalyptic number.

916715520000 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 916715520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996100106000).

916715520000 is an abundant number, since it is smaller than the sum of its proper divisors (3075484692000).

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

916715520000 is an frugal number, since it uses more digits than its factorization.

916715520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 916715520000 in words is "nine hundred sixteen billion, seven hundred fifteen million, five hundred twenty thousand".