51900475200 has 672 divisors, whose sum is σ = 204638330880. Its totient is φ = 11259494400.

The previous prime is 51900475199. The next prime is 51900475201. The reversal of 51900475200 is 257400915.

It is an interprime number because it is at equal distance from previous prime (51900475199) and next prime (51900475201).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51900475201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184699060 + ... + 184699340.

Almost surely, 2^51900475200 is an apocalyptic number.

51900475200 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 51900475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102319165440).

51900475200 is an abundant number, since it is smaller than the sum of its proper divisors (152737855680).

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

51900475200 is a wasteful number, since it uses less digits than its factorization.

51900475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 51900475200 in words is "fifty-one billion, nine hundred million, four hundred seventy-five thousand, two hundred".