53388386648064 has 1440 divisors, whose sum is σ = 178695993141120. Its totient is φ = 15823326412800.

The previous prime is 53388386647963. The next prime is 53388386648071. The reversal of 53388386648064 is 46084668388335.

53388386648064 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 8 + 3 + 86 + 6 + 480 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53388386647983 and 53388386648001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294963462054 + ... + 294963462234.

Almost surely, 2^{53388386648064} is an apocalyptic number.

53388386648064 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 53388386648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89347996570560).

53388386648064 is an abundant number, since it is smaller than the sum of its proper divisors (125307606493056).

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

53388386648064 is a wasteful number, since it uses less digits than its factorization.

53388386648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1911029760, while the sum is 72.

The spelling of 53388386648064 in words is "fifty-three trillion, three hundred eighty-eight billion, three hundred eighty-six million, six hundred forty-eight thousand, sixty-four".