53579676104640 has 896 divisors, whose sum is σ = 219794957107200. Its totient is φ = 12034227179520.

The previous prime is 53579676104567. The next prime is 53579676104657. The reversal of 53579676104640 is 4640167697535.

It is a happy number.

53579676104640 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 9 + 6 + 7 + 610 + 4 + 6 + 4 + 0 = 666.

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

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, 1008114547 + ... + 1008167693.

Almost surely, 2^{53579676104640} 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 53579676104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109897478553600).

53579676104640 is an abundant number, since it is smaller than the sum of its proper divisors (166215281002560).

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

53579676104640 is a wasteful number, since it uses less digits than its factorization.

53579676104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53470 (or 53454 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 53579676104640 in words is "fifty-three trillion, five hundred seventy-nine billion, six hundred seventy-six million, one hundred four thousand, six hundred forty".