13670561520 has 960 divisors, whose sum is σ = 60969811968. Its totient is φ = 2661120000.

The previous prime is 13670561507. The next prime is 13670561533. The reversal of 13670561520 is 2516507631.

13670561520 is a `hidden beast` number, since 1 + 3 + 6 + 70 + 5 + 61 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (13670561507) and next prime (13670561533).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90533445 + ... + 90533595.

Almost surely, 2^13670561520 is an apocalyptic number.

13670561520 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 13670561520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30484905984).

13670561520 is an abundant number, since it is smaller than the sum of its proper divisors (47299250448).

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

13670561520 is a wasteful number, since it uses less digits than its factorization.

13670561520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13670561520 in words is "thirteen billion, six hundred seventy million, five hundred sixty-one thousand, five hundred twenty".