315916621020 has 864 divisors, whose sum is σ = 1378649825280. Its totient is φ = 57401809920.

The previous prime is 315916620991. The next prime is 315916621057. The reversal of 315916621020 is 20126619513.

315916621020 is a `hidden beast` number, since 3 + 1 + 5 + 9 + 1 + 6 + 621 + 0 + 20 = 666.

It is a super-2 number, since 2×315916621020² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23957349 + ... + 23970531.

It is an arithmetic number, because the mean of its divisors is an integer number (1595659520).

Almost surely, 2^315916621020 is an apocalyptic number.

315916621020 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 315916621020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689324912640).

315916621020 is an abundant number, since it is smaller than the sum of its proper divisors (1062733204260).

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

315916621020 is a wasteful number, since it uses less digits than its factorization.

315916621020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 315916621020 in words is "three hundred fifteen billion, nine hundred sixteen million, six hundred twenty-one thousand, twenty".