51004095840 has 288 divisors, whose sum is σ = 176336256096. Its totient is φ = 13423656960.

The previous prime is 51004095781. The next prime is 51004095853. The reversal of 51004095840 is 4859040015.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×51004095840⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51004095795 and 51004095804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49954530 + ... + 49955550.

It is an arithmetic number, because the mean of its divisors is an integer number (612278667).

Almost surely, 2^51004095840 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 51004095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88168128048).

51004095840 is an abundant number, since it is smaller than the sum of its proper divisors (125332160256).

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

51004095840 is a wasteful number, since it uses less digits than its factorization.

51004095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51004095840 in words is "fifty-one billion, four million, ninety-five thousand, eight hundred forty".