10260858832896 has 288 divisors, whose sum is σ = 32224714704000. Its totient is φ = 2894557446144.

The previous prime is 10260858832877. The next prime is 10260858832897. The reversal of 10260858832896 is 69823885806201.

It is not an unprimeable number, because it can be changed into a prime (10260858832897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23567710 + ... + 23999138.

It is an arithmetic number, because the mean of its divisors is an integer number (111891370500).

Almost surely, 2^{10260858832896} is an apocalyptic number.

10260858832896 is a gapful number since it is divisible by the number (16) 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 10260858832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112357352000).

10260858832896 is an abundant number, since it is smaller than the sum of its proper divisors (21963855871104).

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

10260858832896 is an equidigital number, since it uses as much as digits as its factorization.

10260858832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431547 (or 431520 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 10260858832896 in words is "ten trillion, two hundred sixty billion, eight hundred fifty-eight million, eight hundred thirty-two thousand, eight hundred ninety-six".