13585629120 has 112 divisors (see below), whose sum is σ = 49296450048. Its totient is φ = 3105285120.

The previous prime is 13585629097. The next prime is 13585629137. The reversal of 13585629120 is 2192658531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004116 + ... + 1017555.

Almost surely, 2^13585629120 is an apocalyptic number.

13585629120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13585629120 is an abundant number, since it is smaller than the sum of its proper divisors (35710820928).

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

13585629120 is a wasteful number, since it uses less digits than its factorization.

13585629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021698 (or 2021688 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 13585629120 in words is "thirteen billion, five hundred eighty-five million, six hundred twenty-nine thousand, one hundred twenty".