51933830400 has 1080 divisors, whose sum is σ = 208666269504. Its totient is φ = 12695961600.

The previous prime is 51933830327. The next prime is 51933830419. The reversal of 51933830400 is 403833915.

51933830400 is a `hidden beast` number, since 5 + 19 + 338 + 304 + 0 + 0 = 666.

51933830400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 625708759 + ... + 625708841.

Almost surely, 2^51933830400 is an apocalyptic number.

51933830400 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 51933830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104333134752).

51933830400 is an abundant number, since it is smaller than the sum of its proper divisors (156732439104).

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

51933830400 is a wasteful number, since it uses less digits than its factorization.

51933830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51933830400 in words is "fifty-one billion, nine hundred thirty-three million, eight hundred thirty thousand, four hundred".