13048801920 has 960 divisors, whose sum is σ = 59262334560. Its totient is φ = 2705633280.

The previous prime is 13048801897. The next prime is 13048801939. The reversal of 13048801920 is 2910884031.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941527 + ... + 27941993.

Almost surely, 2^13048801920 is an apocalyptic number.

13048801920 is a gapful number since it is divisible by the number (10) 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 13048801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631167280).

13048801920 is an abundant number, since it is smaller than the sum of its proper divisors (46213532640).

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

13048801920 is a wasteful number, since it uses less digits than its factorization.

13048801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13048801920 in words is "thirteen billion, forty-eight million, eight hundred one thousand, nine hundred twenty".