56105467200 has 252 divisors, whose sum is σ = 211143121020. Its totient is φ = 14081310720.

The previous prime is 56105467181. The next prime is 56105467237. The reversal of 56105467200 is 276450165.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7585713216 + 48519753984 = 87096^2 + 220272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130206 + ... + 359394.

Almost surely, 2^56105467200 is an apocalyptic number.

56105467200 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 56105467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105571560510).

56105467200 is an abundant number, since it is smaller than the sum of its proper divisors (155037653820).

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

56105467200 is a wasteful number, since it uses less digits than its factorization.

56105467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229234 (or 229216 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 56105467200 in words is "fifty-six billion, one hundred five million, four hundred sixty-seven thousand, two hundred".