123928664186880 has 1120 divisors, whose sum is σ = 511758877741056. Its totient is φ = 28102839238656.

The previous prime is 123928664186849. The next prime is 123928664186881. The reversal of 123928664186880 is 88681466829321.

123928664186880 is a `hidden beast` number, since 1 + 2 + 3 + 92 + 8 + 66 + 418 + 68 + 8 + 0 = 666.

123928664186880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 123928664186799 and 123928664186808.

It is not an unprimeable number, because it can be changed into a prime (123928664186881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2949467632 + ... + 2949509648.

Almost surely, 2^{123928664186880} is an apocalyptic number.

123928664186880 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 123928664186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255879438870528).

123928664186880 is an abundant number, since it is smaller than the sum of its proper divisors (387830213554176).

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

123928664186880 is an equidigital number, since it uses as much as digits as its factorization.

123928664186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42194 (or 42161 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 123928664186880 in words is "one hundred twenty-three trillion, nine hundred twenty-eight billion, six hundred sixty-four million, one hundred eighty-six thousand, eight hundred eighty".