50149977600 has 480 divisors, whose sum is σ = 173996292096. Its totient is φ = 12718080000.

The previous prime is 50149977583. The next prime is 50149977649. The reversal of 50149977600 is 677994105.

It is a happy number.

50149977600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 50149977600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66777225 + ... + 66777975.

Almost surely, 2^50149977600 is an apocalyptic number.

50149977600 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 50149977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86998146048).

50149977600 is an abundant number, since it is smaller than the sum of its proper divisors (123846314496).

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

50149977600 is a wasteful number, since it uses less digits than its factorization.

50149977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 50149977600 in words is "fifty billion, one hundred forty-nine million, nine hundred seventy-seven thousand, six hundred".