51736255200 has 2016 divisors, whose sum is σ = 245909260800. Its totient is φ = 10346434560.

The previous prime is 51736255157. The next prime is 51736255201. The reversal of 51736255200 is 255263715.

51736255200 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 625 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51736255201) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1784008786 + ... + 1784008814.

It is an arithmetic number, because the mean of its divisors is an integer number (121978800).

Almost surely, 2^51736255200 is an apocalyptic number.

51736255200 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 51736255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122954630400).

51736255200 is an abundant number, since it is smaller than the sum of its proper divisors (194173005600).

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

51736255200 is a wasteful number, since it uses less digits than its factorization.

51736255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

It can be divided in two parts, 51736 and 255200, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 51736255200 in words is "fifty-one billion, seven hundred thirty-six million, two hundred fifty-five thousand, two hundred".