13257266532090 has 256 divisors, whose sum is σ = 40537644134400. Its totient is φ = 2701248417792.

The previous prime is 13257266532053. The next prime is 13257266532157. The reversal of 13257266532090 is 9023566275231.

It is a super-2 number, since 2×13257266532090² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324681796 + ... + 324722624.

It is an arithmetic number, because the mean of its divisors is an integer number (158350172400).

Almost surely, 2^{13257266532090} is an apocalyptic number.

13257266532090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13257266532090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20268822067200).

13257266532090 is an abundant number, since it is smaller than the sum of its proper divisors (27280377602310).

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

13257266532090 is a wasteful number, since it uses less digits than its factorization.

13257266532090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45669.

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 13257266532090 in words is "thirteen trillion, two hundred fifty-seven billion, two hundred sixty-six million, five hundred thirty-two thousand, ninety".