51194978234400 has 1152 divisors, whose sum is σ = 223837273497600. Its totient is φ = 9815345971200.

The previous prime is 51194978234359. The next prime is 51194978234423. The reversal of 51194978234400 is 443287949115.

51194978234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10159747081 + ... + 10159752119.

It is an arithmetic number, because the mean of its divisors is an integer number (194303188800).

Almost surely, 2^{51194978234400} is an apocalyptic number.

51194978234400 is a gapful number since it is divisible by the number (50) 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 51194978234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111918636748800).

51194978234400 is an abundant number, since it is smaller than the sum of its proper divisors (172642295263200).

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

51194978234400 is a wasteful number, since it uses less digits than its factorization.

51194978234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 51194978234400 in words is "fifty-one trillion, one hundred ninety-four billion, nine hundred seventy-eight million, two hundred thirty-four thousand, four hundred".