5105755575500 has 96 divisors (see below), whose sum is σ = 11267353843200. Its totient is φ = 2021081208000.

The previous prime is 5105755575451. The next prime is 5105755575509. The reversal of 5105755575500 is 55755575015.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (5105755575509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21496391 + ... + 21732609.

It is an arithmetic number, because the mean of its divisors is an integer number (117368269200).

Almost surely, 2^{5105755575500} is an apocalyptic number.

5105755575500 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 5105755575500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633676921600).

5105755575500 is an abundant number, since it is smaller than the sum of its proper divisors (6161598267700).

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

5105755575500 is a wasteful number, since it uses less digits than its factorization.

5105755575500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236688 (or 236676 counting only the distinct ones).

The product of its (nonzero) digits is 3828125, while the sum is 50.

The spelling of 5105755575500 in words is "five trillion, one hundred five billion, seven hundred fifty-five million, five hundred seventy-five thousand, five hundred".