53607864960 has 256 divisors, whose sum is σ = 204466752000. Its totient is φ = 13195726848.

The previous prime is 53607864949. The next prime is 53607864967. The reversal of 53607864960 is 6946870635.

53607864960 is a `hidden beast` number, since 536 + 0 + 7 + 8 + 6 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53607864897 and 53607864906.

It is not an unprimeable number, because it can be changed into a prime (53607864967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105321 + ... + 343959.

It is an arithmetic number, because the mean of its divisors is an integer number (798698250).

Almost surely, 2^53607864960 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 53607864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102233376000).

53607864960 is an abundant number, since it is smaller than the sum of its proper divisors (150858887040).

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

53607864960 is a wasteful number, since it uses less digits than its factorization.

53607864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238680 (or 238662 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 53607864960 in words is "fifty-three billion, six hundred seven million, eight hundred sixty-four thousand, nine hundred sixty".