51997939200 has 480 divisors, whose sum is σ = 195352080000. Its totient is φ = 13539778560.

The previous prime is 51997939153. The next prime is 51997939247. The reversal of 51997939200 is 293979915.

51997939200 is a `hidden beast` number, since 519 + 9 + 79 + 39 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51997939153) and next prime (51997939247).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14859051 + ... + 14862549.

It is an arithmetic number, because the mean of its divisors is an integer number (406983500).

Almost surely, 2^51997939200 is an apocalyptic number.

51997939200 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 51997939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97676040000).

51997939200 is an abundant number, since it is smaller than the sum of its proper divisors (143354140800).

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

51997939200 is a wasteful number, since it uses less digits than its factorization.

51997939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 51997939200 in words is "fifty-one billion, nine hundred ninety-seven million, nine hundred thirty-nine thousand, two hundred".