13858490880 has 800 divisors, whose sum is σ = 55025009424. Its totient is φ = 3312451584.

The previous prime is 13858490869. The next prime is 13858490887. The reversal of 13858490880 is 8809485831.

It can be written as a sum of positive squares in 8 ways, for example, as 4522293504 + 9336197376 = 67248^2 + 96624^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13858490887) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 142870992 + ... + 142871088.

Almost surely, 2^13858490880 is an apocalyptic number.

13858490880 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 13858490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27512504712).

13858490880 is an abundant number, since it is smaller than the sum of its proper divisors (41166518544).

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

13858490880 is an equidigital number, since it uses as much as digits as its factorization.

13858490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 13858490880 in words is "thirteen billion, eight hundred fifty-eight million, four hundred ninety thousand, eight hundred eighty".