51116564838240 has 768 divisors, whose sum is σ = 202132962017280. Its totient is φ = 11957379840000.

The previous prime is 51116564838233. The next prime is 51116564838271. The reversal of 51116564838240 is 4283846561115.

51116564838240 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 6 + 564 + 8 + 38 + 2 + 40 = 666.

It is a super-2 number, since 2×51116564838240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 158413065 + ... + 158735415.

It is an arithmetic number, because the mean of its divisors is an integer number (263193960960).

Almost surely, 2^{51116564838240} 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 51116564838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101066481008640).

51116564838240 is an abundant number, since it is smaller than the sum of its proper divisors (151016397179040).

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

51116564838240 is a wasteful number, since it uses less digits than its factorization.

51116564838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322504 (or 322490 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 51116564838240 in words is "fifty-one trillion, one hundred sixteen billion, five hundred sixty-four million, eight hundred thirty-eight thousand, two hundred forty".