13535768500 has 24 divisors (see below), whose sum is σ = 29562119496. Its totient is φ = 5414307200.

The previous prime is 13535768471. The next prime is 13535768503. The reversal of 13535768500 is 586753531.

It can be written as a sum of positive squares in 4 ways, for example, as 298805796 + 13236962704 = 17286^2 + 115052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535768503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13535269 + ... + 13536268.

It is an arithmetic number, because the mean of its divisors is an integer number (1231754979).

Almost surely, 2^13535768500 is an apocalyptic number.

13535768500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535768500 is an abundant number, since it is smaller than the sum of its proper divisors (16026350996).

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

13535768500 is a wasteful number, since it uses less digits than its factorization.

13535768500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27071556 (or 27071544 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 13535768500 in words is "thirteen billion, five hundred thirty-five million, seven hundred sixty-eight thousand, five hundred".