313525280954880 has 480 divisors, whose sum is σ = 1169585674583040. Its totient is φ = 77391930654720.

The previous prime is 313525280954869. The next prime is 313525280954983. The reversal of 313525280954880 is 88459082525313.

It is a happy number.

313525280954880 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 2 + 5 + 2 + 8 + 0 + 9 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6884836 + ... + 25970204.

It is an arithmetic number, because the mean of its divisors is an integer number (2436636822048).

Almost surely, 2^{313525280954880} is an apocalyptic number.

313525280954880 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 313525280954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584792837291520).

313525280954880 is an abundant number, since it is smaller than the sum of its proper divisors (856060393628160).

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

313525280954880 is a wasteful number, since it uses less digits than its factorization.

313525280954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19085452 (or 19085433 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 313525280954880 in words is "three hundred thirteen trillion, five hundred twenty-five billion, two hundred eighty million, nine hundred fifty-four thousand, eight hundred eighty".