51202694400 has 864 divisors, whose sum is σ = 210390784128. Its totient is φ = 10774118400.

The previous prime is 51202694303. The next prime is 51202694419. The reversal of 51202694400 is 449620215.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 46674652 + ... + 46675748.

It is an arithmetic number, because the mean of its divisors is an integer number (243507852).

Almost surely, 2^51202694400 is an apocalyptic number.

51202694400 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 51202694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105195392064).

51202694400 is an abundant number, since it is smaller than the sum of its proper divisors (159188089728).

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

51202694400 is a wasteful number, since it uses less digits than its factorization.

51202694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 51202694400 in words is "fifty-one billion, two hundred two million, six hundred ninety-four thousand, four hundred".