13073749920 has 864 divisors, whose sum is σ = 58266359424. Its totient is φ = 2709780480.

The previous prime is 13073749889. The next prime is 13073749967. The reversal of 13073749920 is 2994737031.

13073749920 is a `hidden beast` number, since 130 + 7 + 3 + 7 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32931162 + ... + 32931558.

It is an arithmetic number, because the mean of its divisors is an integer number (67437916).

Almost surely, 2^13073749920 is an apocalyptic number.

13073749920 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 13073749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29133179712).

13073749920 is an abundant number, since it is smaller than the sum of its proper divisors (45192609504).

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

13073749920 is a wasteful number, since it uses less digits than its factorization.

13073749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 13073749920 in words is "thirteen billion, seventy-three million, seven hundred forty-nine thousand, nine hundred twenty".