13557123840 has 288 divisors, whose sum is σ = 47429303040. Its totient is φ = 3279863808.

The previous prime is 13557123829. The next prime is 13557123863. The reversal of 13557123840 is 4832175531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2942979 + ... + 2947581.

It is an arithmetic number, because the mean of its divisors is an integer number (164685080).

Almost surely, 2^13557123840 is an apocalyptic number.

13557123840 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 13557123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23714651520).

13557123840 is an abundant number, since it is smaller than the sum of its proper divisors (33872179200).

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

13557123840 is a wasteful number, since it uses less digits than its factorization.

13557123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 13557123840 in words is "thirteen billion, five hundred fifty-seven million, one hundred twenty-three thousand, eight hundred forty".