50575577550700 has 288 divisors, whose sum is σ = 116116088094720. Its totient is φ = 19103541811200.

The previous prime is 50575577550697. The next prime is 50575577550739. The reversal of 50575577550700 is 705577557505.

It is a super-2 number, since 2×50575577550700² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3240562297 + ... + 3240577903.

It is an arithmetic number, because the mean of its divisors is an integer number (403180861440).

Almost surely, 2^{50575577550700} is an apocalyptic number.

50575577550700 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 50575577550700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58058044047360).

50575577550700 is an abundant number, since it is smaller than the sum of its proper divisors (65540510544020).

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

50575577550700 is a wasteful number, since it uses less digits than its factorization.

50575577550700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945 (or 15938 counting only the distinct ones).

The product of its (nonzero) digits is 37515625, while the sum is 58.

The spelling of 50575577550700 in words is "fifty trillion, five hundred seventy-five billion, five hundred seventy-seven million, five hundred fifty thousand, seven hundred".