51098304384 has 448 divisors, whose sum is σ = 164954685600. Its totient is φ = 15711252480.

The previous prime is 51098304373. The next prime is 51098304391. The reversal of 51098304384 is 48340389015.

51098304384 is a `hidden beast` number, since 510 + 98 + 3 + 0 + 43 + 8 + 4 = 666.

It is a super-2 number, since 2×51098304384² (a number of 22 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 62238694 + ... + 62239514.

Almost surely, 2^51098304384 is an apocalyptic number.

51098304384 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 51098304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82477342800).

51098304384 is an abundant number, since it is smaller than the sum of its proper divisors (113856381216).

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

51098304384 is an equidigital number, since it uses as much as digits as its factorization.

51098304384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 51098304384 in words is "fifty-one billion, ninety-eight million, three hundred four thousand, three hundred eighty-four".