53680437340992 has 2016 divisors, whose sum is σ = 211219833876480. Its totient is φ = 12855892008960.

The previous prime is 53680437340931. The next prime is 53680437340993. The reversal of 53680437340992 is 29904373408635.

53680437340992 is a `hidden beast` number, since 5 + 3 + 6 + 80 + 437 + 34 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680437340993) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24256861678 + ... + 24256863890.

Almost surely, 2^{53680437340992} 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 53680437340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105609916938240).

53680437340992 is an abundant number, since it is smaller than the sum of its proper divisors (157539396535488).

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

53680437340992 is a wasteful number, since it uses less digits than its factorization.

53680437340992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 53680437340992 in words is "fifty-three trillion, six hundred eighty billion, four hundred thirty-seven million, three hundred forty thousand, nine hundred ninety-two".