51764262859440 has 640 divisors, whose sum is σ = 185478128640000. Its totient is φ = 13253468368896.

The previous prime is 51764262859433. The next prime is 51764262859459. The reversal of 51764262859440 is 4495826246715.

51764262859440 is a `hidden beast` number, since 5 + 1 + 7 + 6 + 426 + 2 + 85 + 94 + 40 = 666.

It is a super-2 number, since 2×51764262859440² (a number of 28 digits) contains 22 as substring.

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, 19179051211 + ... + 19179053909.

It is an arithmetic number, because the mean of its divisors is an integer number (289809576000).

Almost surely, 2^{51764262859440} 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 51764262859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92739064320000).

51764262859440 is an abundant number, since it is smaller than the sum of its proper divisors (133713865780560).

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

51764262859440 is a wasteful number, since it uses less digits than its factorization.

51764262859440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 51764262859440 in words is "fifty-one trillion, seven hundred sixty-four billion, two hundred sixty-two million, eight hundred fifty-nine thousand, four hundred forty".