53914565624976 has 1680 divisors, whose sum is σ = 200231966905344. Its totient is φ = 13738993500672.

The previous prime is 53914565624923. The next prime is 53914565625001. The reversal of 53914565624976 is 67942656541935.

It is a happy number.

53914565624976 is a `hidden beast` number, since 5 + 3 + 9 + 1 + 4 + 56 + 562 + 4 + 9 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 45420863455 + ... + 45420864641.

Almost surely, 2^{53914565624976} is an apocalyptic number.

53914565624976 is a gapful number since it is divisible by the number (56) 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 53914565624976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100115983452672).

53914565624976 is an abundant number, since it is smaller than the sum of its proper divisors (146317401280368).

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

53914565624976 is a wasteful number, since it uses less digits than its factorization.

53914565624976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1308 counting only the distinct ones).

The product of its digits is 1469664000, while the sum is 72.

The spelling of 53914565624976 in words is "fifty-three trillion, nine hundred fourteen billion, five hundred sixty-five million, six hundred twenty-four thousand, nine hundred seventy-six".