51556944600 has 288 divisors, whose sum is σ = 208296192000. Its totient is φ = 11164158720.

The previous prime is 51556944589. The next prime is 51556944613. The reversal of 51556944600 is 644965515.

51556944600 is a `hidden beast` number, since 5 + 1 + 556 + 94 + 4 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131721 + ... + 347079.

Almost surely, 2^51556944600 is an apocalyptic number.

51556944600 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 51556944600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104148096000).

51556944600 is an abundant number, since it is smaller than the sum of its proper divisors (156739247400).

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

51556944600 is a wasteful number, since it uses less digits than its factorization.

51556944600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215407 (or 215395 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 51556944600 in words is "fifty-one billion, five hundred fifty-six million, nine hundred forty-four thousand, six hundred".