51249999398400 has 1440 divisors, whose sum is σ = 206073814003200. Its totient is φ = 12057668812800.

The previous prime is 51249999398347. The next prime is 51249999398413. The reversal of 51249999398400 is 489399994215.

51249999398400 is a `hidden beast` number, since 5 + 1 + 2 + 49 + 9 + 9 + 93 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5906414862 + ... + 5906423538.

It is an arithmetic number, because the mean of its divisors is an integer number (143106815280).

Almost surely, 2^{51249999398400} is an apocalyptic number.

51249999398400 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 51249999398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103036907001600).

51249999398400 is an abundant number, since it is smaller than the sum of its proper divisors (154823814604800).

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

51249999398400 is a wasteful number, since it uses less digits than its factorization.

51249999398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 51249999398400 in words is "fifty-one trillion, two hundred forty-nine billion, nine hundred ninety-nine million, three hundred ninety-eight thousand, four hundred".