13397625077760 has 1632 divisors, whose sum is σ = 59358679511040. Its totient is φ = 2714134118400.

The previous prime is 13397625077741. The next prime is 13397625077779. The reversal of 13397625077760 is 6777052679331.

It is a happy number.

13397625077760 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 7 + 62 + 507 + 7 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13397625077741) and next prime (13397625077779).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9310371121 + ... + 9310372559.

Almost surely, 2^{13397625077760} is an apocalyptic number.

13397625077760 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 13397625077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29679339755520).

13397625077760 is an abundant number, since it is smaller than the sum of its proper divisors (45961054433280).

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

13397625077760 is a wasteful number, since it uses less digits than its factorization.

13397625077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 70013160, while the sum is 63.

The spelling of 13397625077760 in words is "thirteen trillion, three hundred ninety-seven billion, six hundred twenty-five million, seventy-seven thousand, seven hundred sixty".