51189337584 has 320 divisors, whose sum is σ = 183948226560. Its totient is φ = 13240800000.

The previous prime is 51189337561. The next prime is 51189337603. The reversal of 51189337584 is 48573398115.

51189337584 is a `hidden beast` number, since 51 + 1 + 8 + 9 + 3 + 3 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 51189337584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8346199 + ... + 8352329.

It is an arithmetic number, because the mean of its divisors is an integer number (574838208).

Almost surely, 2^51189337584 is an apocalyptic number.

51189337584 is a gapful number since it is divisible by the number (54) 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 51189337584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91974113280).

51189337584 is an abundant number, since it is smaller than the sum of its proper divisors (132758888976).

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

51189337584 is a wasteful number, since it uses less digits than its factorization.

51189337584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6405 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 51189337584 in words is "fifty-one billion, one hundred eighty-nine million, three hundred thirty-seven thousand, five hundred eighty-four".