123916615680 has 1024 divisors, whose sum is σ = 488310197760. Its totient is φ = 26424115200.

The previous prime is 123916615661. The next prime is 123916615703. The reversal of 123916615680 is 86516619321.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2881781739 + ... + 2881781781.

Almost surely, 2^123916615680 is an apocalyptic number.

123916615680 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 123916615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244155098880).

123916615680 is an abundant number, since it is smaller than the sum of its proper divisors (364393582080).

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

123916615680 is a wasteful number, since it uses less digits than its factorization.

123916615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 123916615680 in words is "one hundred twenty-three billion, nine hundred sixteen million, six hundred fifteen thousand, six hundred eighty".