51590641113440 has 576 divisors, whose sum is σ = 149013433259712. Its totient is φ = 16720212787200.

The previous prime is 51590641113367. The next prime is 51590641113443. The reversal of 51590641113440 is 4431114609515.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 51590641113391 and 51590641113400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51590641113443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1182897074 + ... + 1182940686.

It is an arithmetic number, because the mean of its divisors is an integer number (258703877187).

Almost surely, 2^{51590641113440} 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 51590641113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74506716629856).

51590641113440 is an abundant number, since it is smaller than the sum of its proper divisors (97422792146272).

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

51590641113440 is a wasteful number, since it uses less digits than its factorization.

51590641113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43803 (or 43782 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 51590641113440 in words is "fifty-one trillion, five hundred ninety billion, six hundred forty-one million, one hundred thirteen thousand, four hundred forty".