51018895872 has 640 divisors, whose sum is σ = 182965432320. Its totient is φ = 13893783552.

The previous prime is 51018895831. The next prime is 51018895897. The reversal of 51018895872 is 27859881015.

51018895872 is a `hidden beast` number, since 51 + 0 + 1 + 8 + 8 + 9 + 587 + 2 = 666.

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

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, 180278643 + ... + 180278925.

It is an arithmetic number, because the mean of its divisors is an integer number (285883488).

Almost surely, 2^51018895872 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 51018895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91482716160).

51018895872 is an abundant number, since it is smaller than the sum of its proper divisors (131946536448).

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

51018895872 is an frugal number, since it uses more digits than its factorization.

51018895872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 51018895872 in words is "fifty-one billion, eighteen million, eight hundred ninety-five thousand, eight hundred seventy-two".