916413972203520 has 1536 divisors, whose sum is σ = 3791983942656000. Its totient is φ = 205606948700160.

The previous prime is 916413972203507. The next prime is 916413972203537. The reversal of 916413972203520 is 25302279314619.

It is a happy number.

916413972203520 is a `hidden beast` number, since 9 + 1 + 6 + 4 + 1 + 3 + 97 + 2 + 20 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31467003679 + ... + 31467032801.

It is an arithmetic number, because the mean of its divisors is an integer number (2468739546000).

Almost surely, 2^{916413972203520} is an apocalyptic number.

916413972203520 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 916413972203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895991971328000).

916413972203520 is an abundant number, since it is smaller than the sum of its proper divisors (2875569970452480).

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

916413972203520 is a wasteful number, since it uses less digits than its factorization.

916413972203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29466 (or 29440 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 916413972203520 in words is "nine hundred sixteen trillion, four hundred thirteen billion, nine hundred seventy-two million, two hundred three thousand, five hundred twenty".