50828376507100 has 288 divisors, whose sum is σ = 121504823193600. Its totient is φ = 18390233721600.

The previous prime is 50828376507049. The next prime is 50828376507121. The reversal of 50828376507100 is 170567382805.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 690162879 + ... + 690236521.

It is an arithmetic number, because the mean of its divisors is an integer number (421891747200).

Almost surely, 2^{50828376507100} is an apocalyptic number.

50828376507100 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 50828376507100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60752411596800).

50828376507100 is an abundant number, since it is smaller than the sum of its proper divisors (70676446686500).

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

50828376507100 is a wasteful number, since it uses less digits than its factorization.

50828376507100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73913 (or 73906 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 50828376507100 in words is "fifty trillion, eight hundred twenty-eight billion, three hundred seventy-six million, five hundred seven thousand, one hundred".