53210756407680 has 1024 divisors, whose sum is σ = 207340155648000. Its totient is φ = 12837023907840.

The previous prime is 53210756407667. The next prime is 53210756407723. The reversal of 53210756407680 is 8670465701235.

53210756407680 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 0 + 7 + 564 + 0 + 76 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4840416264 + ... + 4840427256.

It is an arithmetic number, because the mean of its divisors is an integer number (202480620750).

Almost surely, 2^{53210756407680} 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 53210756407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103670077824000).

53210756407680 is an abundant number, since it is smaller than the sum of its proper divisors (154129399240320).

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

53210756407680 is a wasteful number, since it uses less digits than its factorization.

53210756407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 53210756407680 in words is "fifty-three trillion, two hundred ten billion, seven hundred fifty-six million, four hundred seven thousand, six hundred eighty".