123963250318560 has 240 divisors, whose sum is σ = 437731595532000. Its totient is φ = 33038382726144.

The previous prime is 123963250318543. The next prime is 123963250318637. The reversal of 123963250318560 is 65813052369321.

123963250318560 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 63 + 2 + 5 + 0 + 3 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 123963250318497 and 123963250318506.

It is a congruent number.

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, 20512141 + ... + 25858739.

It is an arithmetic number, because the mean of its divisors is an integer number (1823881648050).

Almost surely, 2^{123963250318560} is an apocalyptic number.

123963250318560 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 123963250318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218865797766000).

123963250318560 is an abundant number, since it is smaller than the sum of its proper divisors (313768345213440).

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

123963250318560 is a wasteful number, since it uses less digits than its factorization.

123963250318560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348415 (or 5348398 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 123963250318560 in words is "one hundred twenty-three trillion, nine hundred sixty-three billion, two hundred fifty million, three hundred eighteen thousand, five hundred sixty".