13535665380 has 120 divisors (see below), whose sum is σ = 43497752760. Its totient is φ = 3521456640.

The previous prime is 13535665369. The next prime is 13535665397. The reversal of 13535665380 is 8356653531.

It is a happy number.

13535665380 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 566 + 5 + 3 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 659770596 + 12875894784 = 25686^2 + 113472^2 .

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 39 ways as a sum of consecutive naturals, for example, 35475 + ... + 168314.

It is an arithmetic number, because the mean of its divisors is an integer number (362481273).

Almost surely, 2^13535665380 is an apocalyptic number.

13535665380 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 13535665380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748876380).

13535665380 is an abundant number, since it is smaller than the sum of its proper divisors (29962087380).

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

13535665380 is a wasteful number, since it uses less digits than its factorization.

13535665380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203851 (or 203840 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 13535665380 in words is "thirteen billion, five hundred thirty-five million, six hundred sixty-five thousand, three hundred eighty".