10286616225280 has 160 divisors (see below), whose sum is σ = 25748340393600. Its totient is φ = 3936311672832.

The previous prime is 10286616225271. The next prime is 10286616225311. The reversal of 10286616225280 is 8252261668201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10286616225280² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7456569 + ... + 8727751.

It is an arithmetic number, because the mean of its divisors is an integer number (160927127460).

Almost surely, 2^{10286616225280} is an apocalyptic number.

10286616225280 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 10286616225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874170196800).

10286616225280 is an abundant number, since it is smaller than the sum of its proper divisors (15461724168320).

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

10286616225280 is a wasteful number, since it uses less digits than its factorization.

10286616225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271344 (or 1271328 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 10286616225280 in words is "ten trillion, two hundred eighty-six billion, six hundred sixteen million, two hundred twenty-five thousand, two hundred eighty".