123245585527680 has 4608 divisors, whose sum is σ = 583325671219200. Its totient is φ = 24043143168000.

The previous prime is 123245585527657. The next prime is 123245585527681. The reversal of 123245585527680 is 86725585542321.

123245585527680 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 5 + 5 + 8 + 552 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123245585527681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1688295692124 + ... + 1688295692196.

It is an arithmetic number, because the mean of its divisors is an integer number (126589772400).

Almost surely, 2^{123245585527680} is an apocalyptic number.

123245585527680 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 123245585527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291662835609600).

123245585527680 is an abundant number, since it is smaller than the sum of its proper divisors (460080085691520).

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

123245585527680 is a wasteful number, since it uses less digits than its factorization.

123245585527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 123245585527680 in words is "one hundred twenty-three trillion, two hundred forty-five billion, five hundred eighty-five million, five hundred twenty-seven thousand, six hundred eighty".