123557938859520 has 5120 divisors, whose sum is σ = 557170281676800. Its totient is φ = 25571276881920.

The previous prime is 123557938859489. The next prime is 123557938859561. The reversal of 123557938859520 is 25958839755321.

123557938859520 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 5 + 7 + 9 + 3 + 8 + 8 + 595 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 516978823561 + ... + 516978823799.

It is an arithmetic number, because the mean of its divisors is an integer number (108822320640).

Almost surely, 2^{123557938859520} is an apocalyptic number.

123557938859520 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 123557938859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278585140838400).

123557938859520 is an abundant number, since it is smaller than the sum of its proper divisors (433612342817280).

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

123557938859520 is a wasteful number, since it uses less digits than its factorization.

123557938859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 123557938859520 in words is "one hundred twenty-three trillion, five hundred fifty-seven billion, nine hundred thirty-eight million, eight hundred fifty-nine thousand, five hundred twenty".