51587047874000 has 320 divisors, whose sum is σ = 126975873024000. Its totient is φ = 20267585395200.

The previous prime is 51587047873957. The next prime is 51587047874039. The reversal of 51587047874000 is 47874078515.

It is a super-2 number, since 2×51587047874000² (a number of 28 digits) contains 22 as substring.

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, 29327485121 + ... + 29327486879.

It is an arithmetic number, because the mean of its divisors is an integer number (396799603200).

Almost surely, 2^{51587047874000} is an apocalyptic number.

51587047874000 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 51587047874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63487936512000).

51587047874000 is an abundant number, since it is smaller than the sum of its proper divisors (75388825150000).

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

51587047874000 is a wasteful number, since it uses less digits than its factorization.

51587047874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 56.

The spelling of 51587047874000 in words is "fifty-one trillion, five hundred eighty-seven billion, forty-seven million, eight hundred seventy-four thousand".