12953070360 has 192 divisors, whose sum is σ = 43021255680. Its totient is φ = 3379138560.

The previous prime is 12953070337. The next prime is 12953070367. The reversal of 12953070360 is 6307035921.

12953070360 is a `hidden beast` number, since 1 + 29 + 530 + 70 + 36 + 0 = 666.

It is a super-2 number, since 2×12953070360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953070367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3335620 + ... + 3339500.

It is an arithmetic number, because the mean of its divisors is an integer number (224069040).

Almost surely, 2^12953070360 is an apocalyptic number.

12953070360 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 12953070360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510627840).

12953070360 is an abundant number, since it is smaller than the sum of its proper divisors (30068185320).

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

12953070360 is a wasteful number, since it uses less digits than its factorization.

12953070360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 12953070360 in words is "twelve billion, nine hundred fifty-three million, seventy thousand, three hundred sixty".