56292639379200 has 864 divisors, whose sum is σ = 235977471475200. Its totient is φ = 12863092654080.

The previous prime is 56292639379183. The next prime is 56292639379219. The reversal of 56292639379200 is 297393629265.

56292639379200 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 26 + 39 + 379 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×56292639379200² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7365250579 + ... + 7365258221.

Almost surely, 2^{56292639379200} is an apocalyptic number.

56292639379200 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 56292639379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117988735737600).

56292639379200 is an abundant number, since it is smaller than the sum of its proper divisors (179684832096000).

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

56292639379200 is a wasteful number, since it uses less digits than its factorization.

56292639379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 56292639379200 in words is "fifty-six trillion, two hundred ninety-two billion, six hundred thirty-nine million, three hundred seventy-nine thousand, two hundred".