13910813280000 has 2160 divisors, whose sum is σ = 62477344849920. Its totient is φ = 2897399808000.

The previous prime is 13910813279969. The next prime is 13910813280041. The reversal of 13910813280000 is 8231801931.

It is a super-2 number, since 2×13910813280000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 10876319361 + ... + 10876320639.

Almost surely, 2^{13910813280000} is an apocalyptic number.

13910813280000 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 13910813280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31238672424960).

13910813280000 is an abundant number, since it is smaller than the sum of its proper divisors (48566531569920).

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

13910813280000 is a wasteful number, since it uses less digits than its factorization.

13910813280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 13910813280000 in words is "thirteen trillion, nine hundred ten billion, eight hundred thirteen million, two hundred eighty thousand".