51591631553280 has 6912 divisors, whose sum is σ = 258709005434880. Its totient is φ = 9535274090496.

The previous prime is 51591631553167. The next prime is 51591631553311. The reversal of 51591631553280 is 8235513619515.

51591631553280 is a `hidden beast` number, since 5 + 1 + 5 + 9 + 1 + 6 + 3 + 1 + 553 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 767 ways as a sum of consecutive naturals, for example, 531872490192 + ... + 531872490288.

Almost surely, 2^{51591631553280} 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 51591631553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129354502717440).

51591631553280 is an abundant number, since it is smaller than the sum of its proper divisors (207117373881600).

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

51591631553280 is a wasteful number, since it uses less digits than its factorization.

51591631553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 51591631553280 in words is "fifty-one trillion, five hundred ninety-one billion, six hundred thirty-one million, five hundred fifty-three thousand, two hundred eighty".