952472157880320 has 6528 divisors, whose sum is σ = 4709556769996800. Its totient is φ = 179789679820800.

The previous prime is 952472157880283. The next prime is 952472157880361. The reversal of 952472157880320 is 23088751274259.

952472157880320 is a `hidden beast` number, since 9 + 5 + 2 + 4 + 7 + 21 + 578 + 8 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6528).

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 383 ways as a sum of consecutive naturals, for example, 2513119149891 + ... + 2513119150269.

Almost surely, 2^{952472157880320} is an apocalyptic number.

952472157880320 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 952472157880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354778384998400).

952472157880320 is an abundant number, since it is smaller than the sum of its proper divisors (3757084612116480).

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

952472157880320 is a wasteful number, since it uses less digits than its factorization.

952472157880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 952472157880320 in words is "nine hundred fifty-two trillion, four hundred seventy-two billion, one hundred fifty-seven million, eight hundred eighty thousand, three hundred twenty".