123660309749760 has 672 divisors, whose sum is σ = 490327369002432. Its totient is φ = 28240584376320.

The previous prime is 123660309749723. The next prime is 123660309749789. The reversal of 123660309749760 is 67947903066321.

123660309749760 is a `hidden beast` number, since 1 + 23 + 6 + 6 + 0 + 30 + 97 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×123660309749760² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3047526592 + ... + 3047567168.

Almost surely, 2^{123660309749760} is an apocalyptic number.

123660309749760 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 123660309749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245163684501216).

123660309749760 is an abundant number, since it is smaller than the sum of its proper divisors (366667059252672).

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

123660309749760 is a wasteful number, since it uses less digits than its factorization.

123660309749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41802 (or 41775 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 123660309749760 in words is "one hundred twenty-three trillion, six hundred sixty billion, three hundred nine million, seven hundred forty-nine thousand, seven hundred sixty".