13520291904 has 280 divisors, whose sum is σ = 46032155840. Its totient is φ = 3843707904.

The previous prime is 13520291887. The next prime is 13520291921. The reversal of 13520291904 is 40919202531.

It is an interprime number because it is at equal distance from previous prime (13520291887) and next prime (13520291921).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8309139 + ... + 8310765.

Almost surely, 2^13520291904 is an apocalyptic number.

13520291904 is a gapful number since it is divisible by the number (14) 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 13520291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016077920).

13520291904 is an abundant number, since it is smaller than the sum of its proper divisors (32511863936).

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

13520291904 is a wasteful number, since it uses less digits than its factorization.

13520291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13520291904 in words is "thirteen billion, five hundred twenty million, two hundred ninety-one thousand, nine hundred four".