13162912560 has 320 divisors, whose sum is σ = 51975244800. Its totient is φ = 2999420928.

The previous prime is 13162912559. The next prime is 13162912561. The reversal of 13162912560 is 6521926131.

13162912560 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 2 + 91 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (13162912559) and next prime (13162912561).

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

It is not an unprimeable number, because it can be changed into a prime (13162912561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5729332 + ... + 5731628.

It is an arithmetic number, because the mean of its divisors is an integer number (162422640).

Almost surely, 2^13162912560 is an apocalyptic number.

13162912560 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 13162912560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25987622400).

13162912560 is an abundant number, since it is smaller than the sum of its proper divisors (38812332240).

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

13162912560 is a wasteful number, since it uses less digits than its factorization.

13162912560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13162912560 in words is "thirteen billion, one hundred sixty-two million, nine hundred twelve thousand, five hundred sixty".