13590777552 has 160 divisors (see below), whose sum is σ = 39050119680. Its totient is φ = 4038336000.

The previous prime is 13590777523. The next prime is 13590777559. The reversal of 13590777552 is 25577709531.

It is a super-2 number, since 2×13590777552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13590777495 and 13590777504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13590777559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18390399 + ... + 18391137.

It is an arithmetic number, because the mean of its divisors is an integer number (244063248).

Almost surely, 2^13590777552 is an apocalyptic number.

13590777552 is a gapful number since it is divisible by the number (12) 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 13590777552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525059840).

13590777552 is an abundant number, since it is smaller than the sum of its proper divisors (25459342128).

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

13590777552 is a wasteful number, since it uses less digits than its factorization.

13590777552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 2315250, while the sum is 51.

The spelling of 13590777552 in words is "thirteen billion, five hundred ninety million, seven hundred seventy-seven thousand, five hundred fifty-two".