10112589286800 has 960 divisors, whose sum is σ = 44381926041600. Its totient is φ = 1939666176000.

The previous prime is 10112589286759. The next prime is 10112589286801. The reversal of 10112589286800 is 868298521101.

It is not an unprimeable number, because it can be changed into a prime (10112589286801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58772895 + ... + 58944705.

It is an arithmetic number, because the mean of its divisors is an integer number (46231172960).

Almost surely, 2^{10112589286800} is an apocalyptic number.

10112589286800 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 10112589286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190963020800).

10112589286800 is an abundant number, since it is smaller than the sum of its proper divisors (34269336754800).

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

10112589286800 is a wasteful number, since it uses less digits than its factorization.

10112589286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171877 (or 171852 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 10112589286800 in words is "ten trillion, one hundred twelve billion, five hundred eighty-nine million, two hundred eighty-six thousand, eight hundred".