51823122840 has 224 divisors, whose sum is σ = 180465667200. Its totient is φ = 13373475840.

The previous prime is 51823122691. The next prime is 51823122859. The reversal of 51823122840 is 4822132815.

It is a happy number.

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 = 51823122795 and 51823122804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 875296 + ... + 932624.

It is an arithmetic number, because the mean of its divisors is an integer number (805650300).

Almost surely, 2^51823122840 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 51823122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90232833600).

51823122840 is an abundant number, since it is smaller than the sum of its proper divisors (128642544360).

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

51823122840 is a wasteful number, since it uses less digits than its factorization.

51823122840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57389 (or 57370 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 51823122840 in words is "fifty-one billion, eight hundred twenty-three million, one hundred twenty-two thousand, eight hundred forty".