123017025559680 has 1024 divisors, whose sum is σ = 506792401920000. Its totient is φ = 27618296315904.

The previous prime is 123017025559639. The next prime is 123017025559717. The reversal of 123017025559680 is 86955520710321.

123017025559680 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 7 + 0 + 2 + 5 + 559 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9299035306 + ... + 9299048534.

It is an arithmetic number, because the mean of its divisors is an integer number (494914455000).

Almost surely, 2^{123017025559680} is an apocalyptic number.

123017025559680 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 123017025559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253396200960000).

123017025559680 is an abundant number, since it is smaller than the sum of its proper divisors (383775376360320).

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

123017025559680 is a wasteful number, since it uses less digits than its factorization.

123017025559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 123017025559680 in words is "one hundred twenty-three trillion, seventeen billion, twenty-five million, five hundred fifty-nine thousand, six hundred eighty".