51844540188672 has 480 divisors, whose sum is σ = 193066955040960. Its totient is φ = 13466111016960.

The previous prime is 51844540188653. The next prime is 51844540188743. The reversal of 51844540188672 is 27688104544815.

51844540188672 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 4 + 540 + 1 + 8 + 86 + 7 + 2 = 666.

51844540188672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51844540188672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10743978 + ... + 14802774.

It is an arithmetic number, because the mean of its divisors is an integer number (402222823002).

Almost surely, 2^{51844540188672} 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 51844540188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96533477520480).

51844540188672 is an abundant number, since it is smaller than the sum of its proper divisors (141222414852288).

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

51844540188672 is a wasteful number, since it uses less digits than its factorization.

51844540188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058849 (or 4058820 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 51844540188672 in words is "fifty-one trillion, eight hundred forty-four billion, five hundred forty million, one hundred eighty-eight thousand, six hundred seventy-two".