56196144900 has 864 divisors, whose sum is σ = 221098348800. Its totient is φ = 12192768000.

The previous prime is 56196144863. The next prime is 56196144923. The reversal of 56196144900 is 944169165.

It is a happy number.

56196144900 is a `hidden beast` number, since 5 + 61 + 96 + 14 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 372159825 + ... + 372159975.

Almost surely, 2^56196144900 is an apocalyptic number.

56196144900 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 56196144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110549174400).

56196144900 is an abundant number, since it is smaller than the sum of its proper divisors (164902203900).

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

56196144900 is a wasteful number, since it uses less digits than its factorization.

56196144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 56196144900 in words is "fifty-six billion, one hundred ninety-six million, one hundred forty-four thousand, nine hundred".