916882459920 has 240 divisors, whose sum is σ = 3521858396160. Its totient is φ = 209407804416.

The previous prime is 916882459919. The next prime is 916882459937. The reversal of 916882459920 is 29954288619.

916882459920 is a `hidden beast` number, since 9 + 16 + 8 + 8 + 2 + 4 + 599 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6375042 + ... + 6517278.

It is an arithmetic number, because the mean of its divisors is an integer number (14674409984).

Almost surely, 2^916882459920 is an apocalyptic number.

916882459920 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 916882459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760929198080).

916882459920 is an abundant number, since it is smaller than the sum of its proper divisors (2604975936240).

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

916882459920 is a wasteful number, since it uses less digits than its factorization.

916882459920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143542 (or 143533 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 916882459920 in words is "nine hundred sixteen billion, eight hundred eighty-two million, four hundred fifty-nine thousand, nine hundred twenty".