53213300314416 has 160 divisors (see below), whose sum is σ = 167342649027840. Its totient is φ = 16056035136000.

The previous prime is 53213300314411. The next prime is 53213300314439. The reversal of 53213300314416 is 61441300331235.

53213300314416 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 330 + 0 + 314 + 4 + 1 + 6 = 666.

53213300314416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (53213300314411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22923010 + ... + 25137441.

It is an arithmetic number, because the mean of its divisors is an integer number (1045891556424).

Almost surely, 2^{53213300314416} is an apocalyptic number.

It is an amenable number.

53213300314416 is an abundant number, since it is smaller than the sum of its proper divisors (114129348713424).

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

53213300314416 is a wasteful number, since it uses less digits than its factorization.

53213300314416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48060712 (or 48060700 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 53213300314416 in words is "fifty-three trillion, two hundred thirteen billion, three hundred million, three hundred fourteen thousand, four hundred sixteen".