51691305600 has 768 divisors, whose sum is σ = 208403625600. Its totient is φ = 12408422400.

The previous prime is 51691305593. The next prime is 51691305661. The reversal of 51691305600 is 650319615.

51691305600 is a `hidden beast` number, since 5 + 1 + 6 + 91 + 3 + 0 + 560 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130204602 + ... + 130204998.

Almost surely, 2^51691305600 is an apocalyptic number.

51691305600 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 51691305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104201812800).

51691305600 is an abundant number, since it is smaller than the sum of its proper divisors (156712320000).

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

51691305600 is a wasteful number, since it uses less digits than its factorization.

51691305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 51691305600 in words is "fifty-one billion, six hundred ninety-one million, three hundred five thousand, six hundred".