51580690736640 has 1280 divisors, whose sum is σ = 192188279162880. Its totient is φ = 11695643688960.

The previous prime is 51580690736593. The next prime is 51580690736759. The reversal of 51580690736640 is 4663709608515.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34828284700 + ... + 34828286180.

It is an arithmetic number, because the mean of its divisors is an integer number (150147093096).

Almost surely, 2^{51580690736640} 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 51580690736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96094139581440).

51580690736640 is an abundant number, since it is smaller than the sum of its proper divisors (140607588426240).

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

51580690736640 is a wasteful number, since it uses less digits than its factorization.

51580690736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 51580690736640 in words is "fifty-one trillion, five hundred eighty billion, six hundred ninety million, seven hundred thirty-six thousand, six hundred forty".