51625728000 has 1536 divisors, whose sum is σ = 240400742400. Its totient is φ = 10616832000.

The previous prime is 51625727971. The next prime is 51625728029. The reversal of 51625728000 is 82752615.

It is a happy number.

51625728000 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 572 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51625727971) and next prime (51625728029).

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 532223952 + ... + 532224048.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 2^51625728000 is an apocalyptic number.

51625728000 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 51625728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120200371200).

51625728000 is an abundant number, since it is smaller than the sum of its proper divisors (188775014400).

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

51625728000 is a wasteful number, since it uses less digits than its factorization.

51625728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 51625728000 in words is "fifty-one billion, six hundred twenty-five million, seven hundred twenty-eight thousand".