56489653828608 has 704 divisors, whose sum is σ = 203218435768320. Its totient is φ = 13472922009600.

The previous prime is 56489653828411. The next prime is 56489653828649. The reversal of 56489653828608 is 80682835698465.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587290663 + ... + 587386841.

Almost surely, 2^{56489653828608} 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 56489653828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101609217884160).

56489653828608 is an abundant number, since it is smaller than the sum of its proper divisors (146728781939712).

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

56489653828608 is a wasteful number, since it uses less digits than its factorization.

56489653828608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96424 (or 96406 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 78.

The spelling of 56489653828608 in words is "fifty-six trillion, four hundred eighty-nine billion, six hundred fifty-three million, eight hundred twenty-eight thousand, six hundred eight".