13997053007280 has 1280 divisors, whose sum is σ = 57006774190080. Its totient is φ = 3090866688000.

The previous prime is 13997053007263. The next prime is 13997053007347. The reversal of 13997053007280 is 8270035079931.

13997053007280 is a `hidden beast` number, since 1 + 39 + 9 + 7 + 0 + 530 + 0 + 72 + 8 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 15851701719 + ... + 15851702601.

It is an arithmetic number, because the mean of its divisors is an integer number (44536542336).

Almost surely, 2^{13997053007280} is an apocalyptic number.

13997053007280 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 13997053007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28503387095040).

13997053007280 is an abundant number, since it is smaller than the sum of its proper divisors (43009721182800).

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

13997053007280 is a wasteful number, since it uses less digits than its factorization.

13997053007280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 13997053007280 in words is "thirteen trillion, nine hundred ninety-seven billion, fifty-three million, seven thousand, two hundred eighty".