315165375021000 has 768 divisors, whose sum is σ = 1158573166732800. Its totient is φ = 71113641984000.

The previous prime is 315165375020983. The next prime is 315165375021019. The reversal of 315165375021000 is 120573561513.

It is a super-2 number, since 2×315165375021000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315165375021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8255353912 + ... + 8255392088.

It is an arithmetic number, because the mean of its divisors is an integer number (1508558810850).

Almost surely, 2^{315165375021000} is an apocalyptic number.

315165375021000 is a gapful number since it is divisible by the number (30) 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 315165375021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579286583366400).

315165375021000 is an abundant number, since it is smaller than the sum of its proper divisors (843407791711800).

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

315165375021000 is a wasteful number, since it uses less digits than its factorization.

315165375021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38935 (or 38914 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 315165375021000 in words is "three hundred fifteen trillion, one hundred sixty-five billion, three hundred seventy-five million, twenty-one thousand".