56127059956800 has 2016 divisors, whose sum is σ = 257313463324800. Its totient is φ = 11825034117120.

The previous prime is 56127059956769. The next prime is 56127059956823. The reversal of 56127059956800 is 865995072165.

56127059956800 is a `hidden beast` number, since 5 + 6 + 12 + 7 + 0 + 59 + 9 + 568 + 0 + 0 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1488091542 + ... + 1488129258.

Almost surely, 2^{56127059956800} is an apocalyptic number.

56127059956800 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 56127059956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128656731662400).

56127059956800 is an abundant number, since it is smaller than the sum of its proper divisors (201186403368000).

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

56127059956800 is a wasteful number, since it uses less digits than its factorization.

56127059956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37818 (or 37790 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 56127059956800 in words is "fifty-six trillion, one hundred twenty-seven billion, fifty-nine million, nine hundred fifty-six thousand, eight hundred".