51584868000 has 576 divisors, whose sum is σ = 200170414080. Its totient is φ = 12524544000.

The previous prime is 51584867989. The next prime is 51584868019. The reversal of 51584868000 is 86848515.

51584868000 is a `hidden beast` number, since 5 + 1 + 584 + 8 + 68 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18970641 + ... + 18973359.

It is an arithmetic number, because the mean of its divisors is an integer number (347518080).

Almost surely, 2^51584868000 is an apocalyptic number.

51584868000 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 51584868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100085207040).

51584868000 is an abundant number, since it is smaller than the sum of its proper divisors (148585546080).

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

51584868000 is a wasteful number, since it uses less digits than its factorization.

51584868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 51584868000 in words is "fifty-one billion, five hundred eighty-four million, eight hundred sixty-eight thousand".