53101946304 has 392 divisors, whose sum is σ = 174142286208. Its totient is φ = 15924625920.

The previous prime is 53101946299. The next prime is 53101946311. The reversal of 53101946304 is 40364910135.

53101946304 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 19 + 4 + 630 + 4 = 666.

53101946304 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54913629 + ... + 54914595.

Almost surely, 2^53101946304 is an apocalyptic number.

53101946304 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 53101946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87071143104).

53101946304 is an abundant number, since it is smaller than the sum of its proper divisors (121040339904).

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

53101946304 is a wasteful number, since it uses less digits than its factorization.

53101946304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 53101946304 in words is "fifty-three billion, one hundred one million, nine hundred forty-six thousand, three hundred four".