51829835904 has 256 divisors, whose sum is σ = 190716825600. Its totient is φ = 13462225920.

The previous prime is 51829835891. The next prime is 51829836007. The reversal of 51829835904 is 40953892815.

51829835904 is a `hidden beast` number, since 518 + 2 + 9 + 8 + 35 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168729 + ... + 363495.

It is an arithmetic number, because the mean of its divisors is an integer number (744987600).

Almost surely, 2^51829835904 is an apocalyptic number.

51829835904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51829835904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95358412800).

51829835904 is an abundant number, since it is smaller than the sum of its proper divisors (138886989696).

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

51829835904 is a wasteful number, since it uses less digits than its factorization.

51829835904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194808 (or 194790 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 51829835904 in words is "fifty-one billion, eight hundred twenty-nine million, eight hundred thirty-five thousand, nine hundred four".