13207090792896 has 1568 divisors, whose sum is σ = 54191032616448. Its totient is φ = 3080550113280.

The previous prime is 13207090792879. The next prime is 13207090792937. The reversal of 13207090792896 is 69829709070231.

13207090792896 is a `hidden beast` number, since 1 + 320 + 70 + 90 + 79 + 2 + 8 + 96 = 666.

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 223 ways as a sum of consecutive naturals, for example, 1727994451 + ... + 1728002093.

It is an arithmetic number, because the mean of its divisors is an integer number (34560607536).

Almost surely, 2^{13207090792896} is an apocalyptic number.

13207090792896 is a gapful number since it is divisible by the number (16) 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 13207090792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095516308224).

13207090792896 is an abundant number, since it is smaller than the sum of its proper divisors (40983941823552).

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

13207090792896 is a wasteful number, since it uses less digits than its factorization.

13207090792896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

It can be divided in two parts, 13207090 and 792896, that added together give a triangular number (13999986 = T₅₂₉₁).

The spelling of 13207090792896 in words is "thirteen trillion, two hundred seven billion, ninety million, seven hundred ninety-two thousand, eight hundred ninety-six".