50577520896 has 972 divisors, whose sum is σ = 192162353292. Its totient is φ = 12708347904.

The previous prime is 50577520883. The next prime is 50577520921. The reversal of 50577520896 is 69802577505.

50577520896 is a `hidden beast` number, since 505 + 7 + 7 + 52 + 0 + 89 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34275338496 + 16302182400 = 185136^2 + 127680^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 692842716 + ... + 692842788.

Almost surely, 2^50577520896 is an apocalyptic number.

50577520896 is a gapful number since it is divisible by the number (56) 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 50577520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96081176646).

50577520896 is an abundant number, since it is smaller than the sum of its proper divisors (141584832396).

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

50577520896 is a wasteful number, since it uses less digits than its factorization.

50577520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 50577520896 in words is "fifty billion, five hundred seventy-seven million, five hundred twenty thousand, eight hundred ninety-six".