123825588001500 has 768 divisors, whose sum is σ = 470983305461760. Its totient is φ = 24528303360000.

The previous prime is 123825588001499. The next prime is 123825588001501. The reversal of 123825588001500 is 5100885528321.

It is an interprime number because it is at equal distance from previous prime (123825588001499) and next prime (123825588001501).

It is a self number, because there is not a number n which added to its sum of digits gives 123825588001500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123825588001501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 239635416 + ... + 240151584.

It is an arithmetic number, because the mean of its divisors is an integer number (613259512320).

Almost surely, 2^{123825588001500} is an apocalyptic number.

123825588001500 is a gapful number since it is divisible by the number (10) 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 123825588001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235491652730880).

123825588001500 is an abundant number, since it is smaller than the sum of its proper divisors (347157717460260).

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

123825588001500 is a wasteful number, since it uses less digits than its factorization.

123825588001500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516307 (or 516295 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 123825588001500 in words is "one hundred twenty-three trillion, eight hundred twenty-five billion, five hundred eighty-eight million, one thousand, five hundred".