10200918200192 has 64 divisors (see below), whose sum is σ = 21524155129440. Its totient is φ = 4798961172480.

The previous prime is 10200918200147. The next prime is 10200918200197. The reversal of 10200918200192 is 29100281900201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200918200197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6401108 + ... + 7834284.

Almost surely, 2^{10200918200192} 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 10200918200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10762077564720).

10200918200192 is an abundant number, since it is smaller than the sum of its proper divisors (11323236929248).

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

10200918200192 is a wasteful number, since it uses less digits than its factorization.

10200918200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436479 (or 1436467 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The spelling of 10200918200192 in words is "ten trillion, two hundred billion, nine hundred eighteen million, two hundred thousand, one hundred ninety-two".