51845560734240 has 1920 divisors, whose sum is σ = 246137309687808. Its totient is φ = 9963153653760.

The previous prime is 51845560734221. The next prime is 51845560734301. The reversal of 51845560734240 is 4243706554815.

51845560734240 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 5 + 5 + 607 + 3 + 4 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 621481012 + ... + 621564428.

Almost surely, 2^{51845560734240} 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 51845560734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123068654843904).

51845560734240 is an abundant number, since it is smaller than the sum of its proper divisors (194291748953568).

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

51845560734240 is a wasteful number, since it uses less digits than its factorization.

51845560734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83512 (or 83495 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 51845560734240 in words is "fifty-one trillion, eight hundred forty-five billion, five hundred sixty million, seven hundred thirty-four thousand, two hundred forty".