53314062624 has 360 divisors, whose sum is σ = 166873080528. Its totient is φ = 16695072000.

The previous prime is 53314062611. The next prime is 53314062653. The reversal of 53314062624 is 42626041335.

53314062624 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 4 + 0 + 626 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 212406499 + ... + 212406749.

Almost surely, 2^53314062624 is an apocalyptic number.

53314062624 is a gapful number since it is divisible by the number (54) 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 53314062624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83436540264).

53314062624 is an abundant number, since it is smaller than the sum of its proper divisors (113559017904).

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

53314062624 is a wasteful number, since it uses less digits than its factorization.

53314062624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 53314062624 in words is "fifty-three billion, three hundred fourteen million, sixty-two thousand, six hundred twenty-four".