51499302400 has 720 divisors, whose sum is σ = 167140195200. Its totient is φ = 15354593280.

The previous prime is 51499302391. The next prime is 51499302431. The reversal of 51499302400 is 420399415.

It is a super-3 number, since 3×51499302400³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51499302400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287705511 + ... + 287705689.

It is an arithmetic number, because the mean of its divisors is an integer number (232139160).

Almost surely, 2^51499302400 is an apocalyptic number.

51499302400 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 51499302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83570097600).

51499302400 is an abundant number, since it is smaller than the sum of its proper divisors (115640892800).

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

51499302400 is a wasteful number, since it uses less digits than its factorization.

51499302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 51499302400 in words is "fifty-one billion, four hundred ninety-nine million, three hundred two thousand, four hundred".