13292424000 has 560 divisors, whose sum is σ = 50025854736. Its totient is φ = 3483648000.

The previous prime is 13292423999. The next prime is 13292424007. The reversal of 13292424000 is 42429231.

13292424000 is a `hidden beast` number, since 13 + 2 + 9 + 242 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2854123776 + 10438300224 = 53424^2 + 102168^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13292424007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47303860 + ... + 47304140.

Almost surely, 2^13292424000 is an apocalyptic number.

13292424000 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 13292424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25012927368).

13292424000 is an abundant number, since it is smaller than the sum of its proper divisors (36733430736).

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

13292424000 is an equidigital number, since it uses as much as digits as its factorization.

13292424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13292424000 in words is "thirteen billion, two hundred ninety-two million, four hundred twenty-four thousand".