9892290745920 has 224 divisors, whose sum is σ = 34387002331776. Its totient is φ = 2389472870400.

The previous prime is 9892290745919. The next prime is 9892290745951. The reversal of 9892290745920 is 295470922989.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234200 + ... + 4616040.

Almost surely, 2^{9892290745920} 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 9892290745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193501165888).

9892290745920 is an abundant number, since it is smaller than the sum of its proper divisors (24494711585856).

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

9892290745920 is a wasteful number, since it uses less digits than its factorization.

9892290745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382149 (or 3382139 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 9892290745920 in words is "nine trillion, eight hundred ninety-two billion, two hundred ninety million, seven hundred forty-five thousand, nine hundred twenty".