13650923520 has 624 divisors, whose sum is σ = 53094979392. Its totient is φ = 3344302080.

The previous prime is 13650923497. The next prime is 13650923567. The reversal of 13650923520 is 2532905631.

It is a tau number, because it is divible by the number of its divisors (624).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64696215 + ... + 64696425.

It is an arithmetic number, because the mean of its divisors is an integer number (85088108).

Almost surely, 2^13650923520 is an apocalyptic number.

13650923520 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 13650923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547489696).

13650923520 is an abundant number, since it is smaller than the sum of its proper divisors (39444055872).

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

13650923520 is an equidigital number, since it uses as much as digits as its factorization.

13650923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13650923520 in words is "thirteen billion, six hundred fifty million, nine hundred twenty-three thousand, five hundred twenty".