315520066661400 has 72 divisors (see below), whose sum is σ = 1059621557210580. Its totient is φ = 84138684442560.

The previous prime is 315520066661381. The next prime is 315520066661413. The reversal of 315520066661400 is 4166660025513.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87644461162 + ... + 87644464761.

Almost surely, 2^{315520066661400} is an apocalyptic number.

315520066661400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315520066661400 is an abundant number, since it is smaller than the sum of its proper divisors (744101490549180).

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

315520066661400 is a wasteful number, since it uses less digits than its factorization.

315520066661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175288925945 (or 175288925933 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 315520066661400 in words is "three hundred fifteen trillion, five hundred twenty billion, sixty-six million, six hundred sixty-one thousand, four hundred".