56204097348672 has 1792 divisors, whose sum is σ = 220415286067200. Its totient is φ = 13633790607360.

The previous prime is 56204097348569. The next prime is 56204097348689. The reversal of 56204097348672 is 27684379040265.

56204097348672 is a `hidden beast` number, since 5 + 6 + 20 + 40 + 97 + 3 + 486 + 7 + 2 = 666.

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 255 ways as a sum of consecutive naturals, for example, 29472519943 + ... + 29472521849.

It is an arithmetic number, because the mean of its divisors is an integer number (122999601600).

Almost surely, 2^{56204097348672} is an apocalyptic number.

56204097348672 is a gapful number since it is divisible by the number (52) 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 56204097348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110207643033600).

56204097348672 is an abundant number, since it is smaller than the sum of its proper divisors (164211188718528).

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

56204097348672 is a wasteful number, since it uses less digits than its factorization.

56204097348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 56204097348672 in words is "fifty-six trillion, two hundred four billion, ninety-seven million, three hundred forty-eight thousand, six hundred seventy-two".