51149750400 has 576 divisors, whose sum is σ = 216335945280. Its totient is φ = 11690127360.

The previous prime is 51149750389. The next prime is 51149750401. The reversal of 51149750400 is 405794115.

51149750400 is a `hidden beast` number, since 5 + 1 + 149 + 7 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51149750401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5438502 + ... + 5447898.

Almost surely, 2^51149750400 is an apocalyptic number.

51149750400 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 51149750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108167972640).

51149750400 is an abundant number, since it is smaller than the sum of its proper divisors (165186194880).

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

51149750400 is an equidigital number, since it uses as much as digits as its factorization.

51149750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 51149750400 in words is "fifty-one billion, one hundred forty-nine million, seven hundred fifty thousand, four hundred".