10102892265000 has 800 divisors, whose sum is σ = 35977891514400. Its totient is φ = 2647494720000.

The previous prime is 10102892264929. The next prime is 10102892265013. The reversal of 10102892265000 is 56229820101.

10102892265000 is a `hidden beast` number, since 10 + 10 + 28 + 92 + 26 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 5782994127 + ... + 5782995873.

It is an arithmetic number, because the mean of its divisors is an integer number (44972364393).

Almost surely, 2^{10102892265000} is an apocalyptic number.

10102892265000 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 10102892265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17988945757200).

10102892265000 is an abundant number, since it is smaller than the sum of its proper divisors (25874999249400).

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

10102892265000 is a wasteful number, since it uses less digits than its factorization.

10102892265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10102892265000 in words is "ten trillion, one hundred two billion, eight hundred ninety-two million, two hundred sixty-five thousand".