51587585280000 has 4320 divisors, whose sum is σ = 248437425075840. Its totient is φ = 10056499200000.

The previous prime is 51587585279981. The next prime is 51587585280031. The reversal of 51587585280000 is 8258578515.

51587585280000 is a `hidden beast` number, since 5 + 1 + 58 + 7 + 585 + 2 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×51587585280000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 165876479845 + ... + 165876480155.

It is an arithmetic number, because the mean of its divisors is an integer number (57508663212).

Almost surely, 2^{51587585280000} is an apocalyptic number.

51587585280000 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 51587585280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124218712537920).

51587585280000 is an abundant number, since it is smaller than the sum of its proper divisors (196849839795840).

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

51587585280000 is a wasteful number, since it uses less digits than its factorization.

51587585280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 54.

The spelling of 51587585280000 in words is "fifty-one trillion, five hundred eighty-seven billion, five hundred eighty-five million, two hundred eighty thousand".