50458374900 has 180 divisors, whose sum is σ = 173188126188. Its totient is φ = 12664028160.

The previous prime is 50458374871. The next prime is 50458374913. The reversal of 50458374900 is 947385405.

50458374900 is a `hidden beast` number, since 504 + 58 + 3 + 7 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5505046416 + 44953328484 = 74196^2 + 212022^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45519 + ... + 320918.

Almost surely, 2^50458374900 is an apocalyptic number.

50458374900 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 50458374900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86594063094).

50458374900 is an abundant number, since it is smaller than the sum of its proper divisors (122729751288).

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

50458374900 is a wasteful number, since it uses less digits than its factorization.

50458374900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366480 (or 366464 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 50458374900 in words is "fifty billion, four hundred fifty-eight million, three hundred seventy-four thousand, nine hundred".