50826409600 has 192 divisors, whose sum is σ = 137235859200. Its totient is φ = 18516787200.

The previous prime is 50826409559. The next prime is 50826409619. The reversal of 50826409600 is 690462805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671331 + ... + 1701469.

It is an arithmetic number, because the mean of its divisors is an integer number (714770100).

Almost surely, 2^50826409600 is an apocalyptic number.

50826409600 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 50826409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68617929600).

50826409600 is an abundant number, since it is smaller than the sum of its proper divisors (86409449600).

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

50826409600 is a wasteful number, since it uses less digits than its factorization.

50826409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30211 (or 30194 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 50826409600 in words is "fifty billion, eight hundred twenty-six million, four hundred nine thousand, six hundred".