13427802024 has 384 divisors, whose sum is σ = 44953574400. Its totient is φ = 3305594880.

The previous prime is 13427802023. The next prime is 13427802029. The reversal of 13427802024 is 42020872431.

It is a happy number.

It is a super-3 number, since 3×13427802024³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13427802023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13743424 + ... + 13744400.

It is an arithmetic number, because the mean of its divisors is an integer number (117066600).

Almost surely, 2^13427802024 is an apocalyptic number.

13427802024 is a gapful number since it is divisible by the number (14) 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 13427802024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22476787200).

13427802024 is an abundant number, since it is smaller than the sum of its proper divisors (31525772376).

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

13427802024 is a wasteful number, since it uses less digits than its factorization.

13427802024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 13427802024 in words is "thirteen billion, four hundred twenty-seven million, eight hundred two thousand, twenty-four".