51404545874016 has 240 divisors, whose sum is σ = 158157960760800. Its totient is φ = 16347714527232.

The previous prime is 51404545873981. The next prime is 51404545874021. The reversal of 51404545874016 is 61047854540415.

51404545874016 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 4 + 5 + 4 + 587 + 40 + 16 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22082320 + ... + 24298928.

It is an arithmetic number, because the mean of its divisors is an integer number (658991503170).

Almost surely, 2^{51404545874016} 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 51404545874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79078980380400).

51404545874016 is an abundant number, since it is smaller than the sum of its proper divisors (106753414886784).

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

51404545874016 is a wasteful number, since it uses less digits than its factorization.

51404545874016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217043 (or 2217026 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 51404545874016 in words is "fifty-one trillion, four hundred four billion, five hundred forty-five million, eight hundred seventy-four thousand, sixteen".