14957542108080 has 2400 divisors, whose sum is σ = 65256291038400. Its totient is φ = 3164038225920.

The previous prime is 14957542108063. The next prime is 14957542108121. The reversal of 14957542108080 is 8080124575941.

14957542108080 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 7 + 542 + 10 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32729851212 + ... + 32729851668.

It is an arithmetic number, because the mean of its divisors is an integer number (27190121266).

Almost surely, 2^{14957542108080} is an apocalyptic number.

14957542108080 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 14957542108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32628145519200).

14957542108080 is an abundant number, since it is smaller than the sum of its proper divisors (50298748930320).

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

14957542108080 is a wasteful number, since it uses less digits than its factorization.

14957542108080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 14957542108080 in words is "fourteen trillion, nine hundred fifty-seven billion, five hundred forty-two million, one hundred eight thousand, eighty".