51206272588800 has 2376 divisors, whose sum is σ = 228352116195840. Its totient is φ = 11324642918400.

The previous prime is 51206272588787. The next prime is 51206272588819. The reversal of 51206272588800 is 888527260215.

51206272588800 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 627 + 2 + 5 + 8 + 8 + 8 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9449392491 + ... + 9449397909.

Almost surely, 2^{51206272588800} is an apocalyptic number.

51206272588800 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 51206272588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114176058097920).

51206272588800 is an abundant number, since it is smaller than the sum of its proper divisors (177145843607040).

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

51206272588800 is a wasteful number, since it uses less digits than its factorization.

51206272588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 51206272588800 in words is "fifty-one trillion, two hundred six billion, two hundred seventy-two million, five hundred eighty-eight thousand, eight hundred".