13046533920 has 1008 divisors, whose sum is σ = 57577141440. Its totient is φ = 2727696384.

The previous prime is 13046533919. The next prime is 13046533957. The reversal of 13046533920 is 2933564031.

It is a happy number.

13046533920 is a `hidden beast` number, since 1 + 30 + 4 + 6 + 533 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 449880466 + ... + 449880494.

It is an arithmetic number, because the mean of its divisors is an integer number (57120180).

Almost surely, 2^13046533920 is an apocalyptic number.

13046533920 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 13046533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788570720).

13046533920 is an abundant number, since it is smaller than the sum of its proper divisors (44530607520).

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

13046533920 is an equidigital number, since it uses as much as digits as its factorization.

13046533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13046533920 in words is "thirteen billion, forty-six million, five hundred thirty-three thousand, nine hundred twenty".