51198563400 has 192 divisors, whose sum is σ = 168714290880. Its totient is φ = 12799180800.

The previous prime is 51198563341. The next prime is 51198563413. The reversal of 51198563400 is 436589115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2611635 + ... + 2631165.

It is an arithmetic number, because the mean of its divisors is an integer number (878720265).

Almost surely, 2^51198563400 is an apocalyptic number.

51198563400 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 51198563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84357145440).

51198563400 is an abundant number, since it is smaller than the sum of its proper divisors (117515727480).

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

51198563400 is a wasteful number, since it uses less digits than its factorization.

51198563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19824 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 51198563400 in words is "fifty-one billion, one hundred ninety-eight million, five hundred sixty-three thousand, four hundred".