51919795200 has 2112 divisors, whose sum is σ = 245624279040. Its totient is φ = 9342812160.

The previous prime is 51919795189. The next prime is 51919795241. The reversal of 51919795200 is 259791915.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51919795200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2257382389 + ... + 2257382411.

Almost surely, 2^51919795200 is an apocalyptic number.

51919795200 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 51919795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122812139520).

51919795200 is an abundant number, since it is smaller than the sum of its proper divisors (193704483840).

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

51919795200 is a wasteful number, since it uses less digits than its factorization.

51919795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 48.

The spelling of 51919795200 in words is "fifty-one billion, nine hundred nineteen million, seven hundred ninety-five thousand, two hundred".