13970142658080 has 384 divisors, whose sum is σ = 57180124108800. Its totient is φ = 3118915279872.

The previous prime is 13970142658049. The next prime is 13970142658091. The reversal of 13970142658080 is 8085624107931.

13970142658080 is a `hidden beast` number, since 1 + 3 + 97 + 0 + 1 + 426 + 58 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4071490 + ... + 6672129.

It is an arithmetic number, because the mean of its divisors is an integer number (148906573200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13970142658080 = 27940285316160, but 3⋅13970142658080 = 41910427974240 is not.

Almost surely, 2^{13970142658080} is an apocalyptic number.

13970142658080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13970142658080 is an abundant number, since it is smaller than the sum of its proper divisors (43209981450720).

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

13970142658080 is a wasteful number, since it uses less digits than its factorization.

13970142658080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743693 (or 10743679 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13970142658080 in words is "thirteen trillion, nine hundred seventy billion, one hundred forty-two million, six hundred fifty-eight thousand, eighty".