50115945600 has 864 divisors, whose sum is σ = 220363100100. Its totient is φ = 10776084480.

The previous prime is 50115945599. The next prime is 50115945623. The reversal of 50115945600 is 654951105.

50115945600 is a `hidden beast` number, since 5 + 0 + 1 + 1 + 5 + 9 + 45 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35848120896 + 14267824704 = 189336^2 + 119448^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23989356 + ... + 23991444.

Almost surely, 2^50115945600 is an apocalyptic number.

50115945600 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 50115945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110181550050).

50115945600 is an abundant number, since it is smaller than the sum of its proper divisors (170247154500).

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

50115945600 is a wasteful number, since it uses less digits than its factorization.

50115945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 50115945600 in words is "fifty billion, one hundred fifteen million, nine hundred forty-five thousand, six hundred".