23251042105000 has 160 divisors (see below), whose sum is σ = 55269375638400. Its totient is φ = 9165977856000.

The previous prime is 23251042104929. The next prime is 23251042105033. The reversal of 23251042105000 is 50124015232.

It is a super-2 number, since 2×23251042105000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115814707 + ... + 116015293.

It is an arithmetic number, because the mean of its divisors is an integer number (345433597740).

Almost surely, 2^{23251042105000} is an apocalyptic number.

23251042105000 is a gapful number since it is divisible by the number (20) 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 23251042105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27634687819200).

23251042105000 is an abundant number, since it is smaller than the sum of its proper divisors (32018333533400).

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

23251042105000 is a wasteful number, since it uses less digits than its factorization.

23251042105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200949 (or 200930 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 23251042105000 in words is "twenty-three trillion, two hundred fifty-one billion, forty-two million, one hundred five thousand".