10413890564 has 96 divisors (see below), whose sum is σ = 22983367680. Its totient is φ = 4010832000.

The previous prime is 10413890561. The next prime is 10413890581. The reversal of 10413890564 is 46509831401.

Together with 12569477115 it forms a betrothed pair.

It is not an unprimeable number, because it can be changed into a prime (10413890561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14855414 + ... + 14856114.

It is an arithmetic number, because the mean of its divisors is an integer number (239410080).

Almost surely, 2^10413890564 is an apocalyptic number.

10413890564 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 10413890564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491683840).

10413890564 is an abundant number, since it is smaller than the sum of its proper divisors (12569477116).

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

10413890564 is a wasteful number, since it uses less digits than its factorization.

10413890564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 10413890564 in words is "ten billion, four hundred thirteen million, eight hundred ninety thousand, five hundred sixty-four".