13026004992 has 624 divisors, whose sum is σ = 50662055808. Its totient is φ = 3114270720.

The previous prime is 13026004991. The next prime is 13026005017. The reversal of 13026004992 is 29940062031.

13026004992 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 600 + 49 + 9 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (13026004991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36900688 + ... + 36901040.

It is an arithmetic number, because the mean of its divisors is an integer number (81189192).

Almost surely, 2^13026004992 is an apocalyptic number.

13026004992 is a gapful number since it is divisible by the number (12) 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 13026004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331027904).

13026004992 is an abundant number, since it is smaller than the sum of its proper divisors (37636050816).

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

13026004992 is a wasteful number, since it uses less digits than its factorization.

13026004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13026004992 in words is "thirteen billion, twenty-six million, four thousand, nine hundred ninety-two".