12953853160290 has 240 divisors, whose sum is σ = 42901671020472. Its totient is φ = 2786711122944.

The previous prime is 12953853160219. The next prime is 12953853160321. The reversal of 12953853160290 is 9206135835921.

12953853160290 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 38 + 5 + 316 + 0 + 290 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10366732107081 + 2587121053209 = 3219741^2 + 1608453^2 .

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 119 ways as a sum of consecutive naturals, for example, 8924557 + ... + 10274016.

Almost surely, 2^{12953853160290} is an apocalyptic number.

12953853160290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12953853160290 is an abundant number, since it is smaller than the sum of its proper divisors (29947817860182).

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

12953853160290 is a wasteful number, since it uses less digits than its factorization.

12953853160290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19198623 (or 19198607 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 12953853160290 in words is "twelve trillion, nine hundred fifty-three billion, eight hundred fifty-three million, one hundred sixty thousand, two hundred ninety".