10290086456 has 64 divisors (see below), whose sum is σ = 21167939520. Its totient is φ = 4660992000.

The previous prime is 10290086441. The next prime is 10290086459. The reversal of 10290086456 is 65468009201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290086459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206206 + ... + 1214706.

It is an arithmetic number, because the mean of its divisors is an integer number (330749055).

Almost surely, 2^10290086456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10290086456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10583969760).

10290086456 is an abundant number, since it is smaller than the sum of its proper divisors (10877853064).

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

10290086456 is a wasteful number, since it uses less digits than its factorization.

10290086456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8732 counting only the distinct ones).

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

The spelling of 10290086456 in words is "ten billion, two hundred ninety million, eighty-six thousand, four hundred fifty-six".