50004777600 has 768 divisors, whose sum is σ = 195487488000. Its totient is φ = 12446576640.

The previous prime is 50004777593. The next prime is 50004777601. The reversal of 50004777600 is 677740005.

50004777600 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 47 + 7 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50004777601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136252617 + ... + 136252983.

It is an arithmetic number, because the mean of its divisors is an integer number (254541000).

Almost surely, 2^50004777600 is an apocalyptic number.

50004777600 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 50004777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97743744000).

50004777600 is an abundant number, since it is smaller than the sum of its proper divisors (145482710400).

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

50004777600 is a wasteful number, since it uses less digits than its factorization.

50004777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 50004777600 in words is "fifty billion, four million, seven hundred seventy-seven thousand, six hundred".