56961590127400 has 384 divisors, whose sum is σ = 162138459974400. Its totient is φ = 18165443788800.

The previous prime is 56961590127397. The next prime is 56961590127419. The reversal of 56961590127400 is 472109516965.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5339976867 + ... + 5339987533.

It is an arithmetic number, because the mean of its divisors is an integer number (422235572850).

Almost surely, 2^{56961590127400} is an apocalyptic number.

56961590127400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56961590127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81069229987200).

56961590127400 is an abundant number, since it is smaller than the sum of its proper divisors (105176869847000).

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

56961590127400 is a wasteful number, since it uses less digits than its factorization.

56961590127400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13317 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 56961590127400 in words is "fifty-six trillion, nine hundred sixty-one billion, five hundred ninety million, one hundred twenty-seven thousand, four hundred".