53121357468 has 120 divisors (see below), whose sum is σ = 143305718864. Its totient is φ = 17146080000.

The previous prime is 53121357437. The next prime is 53121357493. The reversal of 53121357468 is 86475312135.

It is a happy number.

53121357468 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 13 + 574 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2518968 + ... + 2539968.

Almost surely, 2^53121357468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53121357468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71652859432).

53121357468 is an abundant number, since it is smaller than the sum of its proper divisors (90184361396).

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

53121357468 is a wasteful number, since it uses less digits than its factorization.

53121357468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21265 (or 21254 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 53121357468 in words is "fifty-three billion, one hundred twenty-one million, three hundred fifty-seven thousand, four hundred sixty-eight".