13153480704 has 416 divisors, whose sum is σ = 47997949440. Its totient is φ = 3466395648.

The previous prime is 13153480687. The next prime is 13153480727. The reversal of 13153480704 is 40708435131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10063219 + ... + 10064525.

Almost surely, 2^13153480704 is an apocalyptic number.

13153480704 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 13153480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998974720).

13153480704 is an abundant number, since it is smaller than the sum of its proper divisors (34844468736).

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

13153480704 is a wasteful number, since it uses less digits than its factorization.

13153480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13153480704 in words is "thirteen billion, one hundred fifty-three million, four hundred eighty thousand, seven hundred four".