123519857556480 has 2112 divisors, whose sum is σ = 519931361562624. Its totient is φ = 24723062784000.

The previous prime is 123519857556457. The next prime is 123519857556493. The reversal of 123519857556480 is 84655758915321.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61852706842 + ... + 61852708838.

It is an arithmetic number, because the mean of its divisors is an integer number (246179621952).

It is a 1-persistent number, because it is pandigital, but 2⋅123519857556480 = 247039715112960 is not.

Almost surely, 2^{123519857556480} is an apocalyptic number.

123519857556480 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 123519857556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259965680781312).

123519857556480 is an abundant number, since it is smaller than the sum of its proper divisors (396411504006144).

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

123519857556480 is a wasteful number, since it uses less digits than its factorization.

123519857556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 69.

The spelling of 123519857556480 in words is "one hundred twenty-three trillion, five hundred nineteen billion, eight hundred fifty-seven million, five hundred fifty-six thousand, four hundred eighty".