13985904902760 has 512 divisors, whose sum is σ = 57034437120000. Its totient is φ = 2977194009600.

The previous prime is 13985904902747. The next prime is 13985904902771. The reversal of 13985904902760 is 6720940958931.

13985904902760 is a `hidden beast` number, since 1 + 3 + 9 + 85 + 9 + 0 + 490 + 2 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7649610 + ... + 9299910.

It is an arithmetic number, because the mean of its divisors is an integer number (111395385000).

It is a 1-persistent number, because it is pandigital, but 2⋅13985904902760 = 27971809805520 is not.

Almost surely, 2^{13985904902760} is an apocalyptic number.

13985904902760 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 13985904902760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28517218560000).

13985904902760 is an abundant number, since it is smaller than the sum of its proper divisors (43048532217240).

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

13985904902760 is a wasteful number, since it uses less digits than its factorization.

13985904902760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650406 (or 1650396 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 13985904902760 in words is "thirteen trillion, nine hundred eighty-five billion, nine hundred four million, nine hundred two thousand, seven hundred sixty".