51574750064640 has 1560 divisors, whose sum is σ = 205572437753760. Its totient is φ = 12358204784640.

The previous prime is 51574750064587. The next prime is 51574750064681. The reversal of 51574750064640 is 4646005747515.

51574750064640 is a `hidden beast` number, since 5 + 1 + 5 + 74 + 7 + 500 + 6 + 4 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17864477277 + ... + 17864480163.

Almost surely, 2^{51574750064640} 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 51574750064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102786218876880).

51574750064640 is an abundant number, since it is smaller than the sum of its proper divisors (153997687689120).

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

51574750064640 is a wasteful number, since it uses less digits than its factorization.

51574750064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 51574750064640 in words is "fifty-one trillion, five hundred seventy-four billion, seven hundred fifty million, sixty-four thousand, six hundred forty".