51412695840 has 1152 divisors, whose sum is σ = 215404842240. Its totient is φ = 11488573440.

The previous prime is 51412695793. The next prime is 51412695847. The reversal of 51412695840 is 4859621415.

51412695840 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 2 + 69 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51412695847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1389532302 + ... + 1389532338.

It is an arithmetic number, because the mean of its divisors is an integer number (186983370).

Almost surely, 2^51412695840 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 51412695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702421120).

51412695840 is an abundant number, since it is smaller than the sum of its proper divisors (163992146400).

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

51412695840 is a wasteful number, since it uses less digits than its factorization.

51412695840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 51412695840 in words is "fifty-one billion, four hundred twelve million, six hundred ninety-five thousand, eight hundred forty".