50058854400 has 192 divisors, whose sum is σ = 165533545800. Its totient is φ = 13348372480.

The previous prime is 50058854399. The next prime is 50058854401. The reversal of 50058854400 is 445885005.

It is an interprime number because it is at equal distance from previous prime (50058854399) and next prime (50058854401).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×50058854400³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50058854401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2447416 + ... + 2467784.

Almost surely, 2^50058854400 is an apocalyptic number.

50058854400 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 50058854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82766772900).

50058854400 is an abundant number, since it is smaller than the sum of its proper divisors (115474691400).

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

50058854400 is an equidigital number, since it uses as much as digits as its factorization.

50058854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20412 (or 20379 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The spelling of 50058854400 in words is "fifty billion, fifty-eight million, eight hundred fifty-four thousand, four hundred".