56100739200 has 384 divisors, whose sum is σ = 202293123840. Its totient is φ = 13552128000.

The previous prime is 56100739187. The next prime is 56100739207. The reversal of 56100739200 is 293700165.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56100739207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36642435 + ... + 36643965.

It is an arithmetic number, because the mean of its divisors is an integer number (526805010).

Almost surely, 2^56100739200 is an apocalyptic number.

56100739200 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 56100739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101146561920).

56100739200 is an abundant number, since it is smaller than the sum of its proper divisors (146192384640).

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

56100739200 is a wasteful number, since it uses less digits than its factorization.

56100739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 56100739200 in words is "fifty-six billion, one hundred million, seven hundred thirty-nine thousand, two hundred".