13870906560 has 672 divisors, whose sum is σ = 59911488000. Its totient is φ = 2982002688.

The previous prime is 13870906529. The next prime is 13870906597. The reversal of 13870906560 is 6560907831.

It is a happy number.

13870906560 is a `hidden beast` number, since 1 + 3 + 87 + 0 + 9 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9252691 + ... + 9254189.

It is an arithmetic number, because the mean of its divisors is an integer number (89154000).

Almost surely, 2^13870906560 is an apocalyptic number.

13870906560 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 13870906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955744000).

13870906560 is an abundant number, since it is smaller than the sum of its proper divisors (46040581440).

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

13870906560 is a wasteful number, since it uses less digits than its factorization.

13870906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13870906560 in words is "thirteen billion, eight hundred seventy million, nine hundred six thousand, five hundred sixty".