51005583360 has 624 divisors, whose sum is σ = 188980917216. Its totient is φ = 13186105344.

The previous prime is 51005583337. The next prime is 51005583371. The reversal of 51005583360 is 6338550015.

51005583360 is a `hidden beast` number, since 5 + 10 + 0 + 5 + 583 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184135542 + ... + 184135818.

It is an arithmetic number, because the mean of its divisors is an integer number (302854034).

Almost surely, 2^51005583360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51005583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94490458608).

51005583360 is an abundant number, since it is smaller than the sum of its proper divisors (137975333856).

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

51005583360 is an equidigital number, since it uses as much as digits as its factorization.

51005583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 51005583360 in words is "fifty-one billion, five million, five hundred eighty-three thousand, three hundred sixty".