56377299664224 has 1536 divisors, whose sum is σ = 213889019904000. Its totient is φ = 14026869964800.

The previous prime is 56377299664177. The next prime is 56377299664247. The reversal of 56377299664224 is 42246699277365.

It is a happy number.

56377299664224 is a `hidden beast` number, since 5 + 6 + 377 + 29 + 9 + 6 + 6 + 4 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24803034352 + ... + 24803036624.

It is an arithmetic number, because the mean of its divisors is an integer number (139250664000).

Almost surely, 2^{56377299664224} is an apocalyptic number.

56377299664224 is a gapful number since it is divisible by the number (54) 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 56377299664224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106944509952000).

56377299664224 is an abundant number, since it is smaller than the sum of its proper divisors (157511720239776).

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

56377299664224 is a wasteful number, since it uses less digits than its factorization.

56377299664224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2515 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 72.

The spelling of 56377299664224 in words is "fifty-six trillion, three hundred seventy-seven billion, two hundred ninety-nine million, six hundred sixty-four thousand, two hundred twenty-four".