56630816186880 has 320 divisors, whose sum is σ = 194996776157568. Its totient is φ = 13937830133760.

The previous prime is 56630816186869. The next prime is 56630816186887. The reversal of 56630816186880 is 8868161803665.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (56630816186887) 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, 739875972 + ... + 739952508.

Almost surely, 2^{56630816186880} 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 56630816186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97498388078784).

56630816186880 is an abundant number, since it is smaller than the sum of its proper divisors (138365959970688).

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

56630816186880 is a wasteful number, since it uses less digits than its factorization.

56630816186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83987 (or 83971 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 56630816186880 in words is "fifty-six trillion, six hundred thirty billion, eight hundred sixteen million, one hundred eighty-six thousand, eight hundred eighty".