51007975200 has 864 divisors, whose sum is σ = 223481696256. Its totient is φ = 10659962880.

The previous prime is 51007975199. The next prime is 51007975223. The reversal of 51007975200 is 257970015.

51007975200 is a `hidden beast` number, since 510 + 0 + 7 + 97 + 52 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83210094 + ... + 83210706.

Almost surely, 2^51007975200 is an apocalyptic number.

51007975200 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 51007975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111740848128).

51007975200 is an abundant number, since it is smaller than the sum of its proper divisors (172473721056).

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

51007975200 is a wasteful number, since it uses less digits than its factorization.

51007975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 51007975200 in words is "fifty-one billion, seven million, nine hundred seventy-five thousand, two hundred".