50135518181100 has 288 divisors, whose sum is σ = 169181272705536. Its totient is φ = 11328059289600.

The previous prime is 50135518181059. The next prime is 50135518181141. The reversal of 50135518181100 is 118181553105.

50135518181100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50135518181059) and next prime (50135518181141).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1440042 + ... + 10116558.

It is an arithmetic number, because the mean of its divisors is an integer number (587434974672).

Almost surely, 2^{50135518181100} is an apocalyptic number.

50135518181100 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 50135518181100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84590636352768).

50135518181100 is an abundant number, since it is smaller than the sum of its proper divisors (119045754524436).

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

50135518181100 is a wasteful number, since it uses less digits than its factorization.

50135518181100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676665 (or 8676658 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 39.

The spelling of 50135518181100 in words is "fifty trillion, one hundred thirty-five billion, five hundred eighteen million, one hundred eighty-one thousand, one hundred".