13142992481280 has 528 divisors, whose sum is σ = 45952906881024. Its totient is φ = 3473109319680.

The previous prime is 13142992481279. The next prime is 13142992481287. The reversal of 13142992481280 is 8218429924131.

13142992481280 is a `hidden beast` number, since 1 + 3 + 1 + 429 + 92 + 4 + 8 + 128 + 0 = 666.

It is a super-2 number, since 2×13142992481280² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13142992481287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6561652759 + ... + 6561654761.

It is an arithmetic number, because the mean of its divisors is an integer number (87032020608).

Almost surely, 2^{13142992481280} is an apocalyptic number.

13142992481280 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 13142992481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976453440512).

13142992481280 is an abundant number, since it is smaller than the sum of its proper divisors (32809914399744).

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

13142992481280 is a wasteful number, since it uses less digits than its factorization.

13142992481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 13142992481280 in words is "thirteen trillion, one hundred forty-two billion, nine hundred ninety-two million, four hundred eighty-one thousand, two hundred eighty".