123868738560 has 528 divisors, whose sum is σ = 475826296320. Its totient is φ = 27394375680.

The previous prime is 123868738559. The next prime is 123868738561. The reversal of 123868738560 is 65837868321.

It is an interprime number because it is at equal distance from previous prime (123868738559) and next prime (123868738561).

It is a self number, because there is not a number n which added to its sum of digits gives 123868738560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123868738561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23329186 + ... + 23334494.

Almost surely, 2^123868738560 is an apocalyptic number.

123868738560 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 123868738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237913148160).

123868738560 is an abundant number, since it is smaller than the sum of its proper divisors (351957557760).

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

123868738560 is a wasteful number, since it uses less digits than its factorization.

123868738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 123868738560 in words is "one hundred twenty-three billion, eight hundred sixty-eight million, seven hundred thirty-eight thousand, five hundred sixty".