13167265497920 has 112 divisors (see below), whose sum is σ = 31419741120768. Its totient is φ = 5255960586240.

The previous prime is 13167265497857. The next prime is 13167265497937. The reversal of 13167265497920 is 2979456276131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004898089 + ... + 1004911191.

It is an arithmetic number, because the mean of its divisors is an integer number (280533402864).

Almost surely, 2^{13167265497920} is an apocalyptic number.

13167265497920 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 13167265497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709870560384).

13167265497920 is an abundant number, since it is smaller than the sum of its proper divisors (18252475622848).

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

13167265497920 is a wasteful number, since it uses less digits than its factorization.

13167265497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19408 (or 19398 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 13167265497920 in words is "thirteen trillion, one hundred sixty-seven billion, two hundred sixty-five million, four hundred ninety-seven thousand, nine hundred twenty".