13591205628 has 768 divisors, whose sum is σ = 49421352960. Its totient is φ = 2786918400.

The previous prime is 13591205623. The next prime is 13591205633. The reversal of 13591205628 is 82650219531.

It is an interprime number because it is at equal distance from previous prime (13591205623) and next prime (13591205633).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13591205628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13591205623) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 120276100 + ... + 120276212.

It is an arithmetic number, because the mean of its divisors is an integer number (64350720).

Almost surely, 2^13591205628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13591205628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710676480).

13591205628 is an abundant number, since it is smaller than the sum of its proper divisors (35830147332).

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

13591205628 is a wasteful number, since it uses less digits than its factorization.

13591205628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

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

The spelling of 13591205628 in words is "thirteen billion, five hundred ninety-one million, two hundred five thousand, six hundred twenty-eight".