51202886400 has 540 divisors, whose sum is σ = 193807538232. Its totient is φ = 13330759680.

The previous prime is 51202886393. The next prime is 51202886401. The reversal of 51202886400 is 468820215.

51202886400 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 2 + 8 + 8 + 640 + 0 = 666.

51202886400 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 (540).

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

It is not an unprimeable number, because it can be changed into a prime (51202886401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22290052 + ... + 22292348.

Almost surely, 2^51202886400 is an apocalyptic number.

51202886400 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 51202886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96903769116).

51202886400 is an abundant number, since it is smaller than the sum of its proper divisors (142604651832).

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

51202886400 is a wasteful number, since it uses less digits than its factorization.

51202886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 51202886400 in words is "fifty-one billion, two hundred two million, eight hundred eighty-six thousand, four hundred".