90200769000 has 128 divisors (see below), whose sum is σ = 281741241600. Its totient is φ = 24026630400.

The previous prime is 90200768981. The next prime is 90200769017. The reversal of 90200769000 is 96700209.

It is a super-2 number, since 2×90200769000² (a number of 23 digits) contains 22 as substring.

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, 2740642 + ... + 2773358.

It is an arithmetic number, because the mean of its divisors is an integer number (2201103450).

Almost surely, 2^90200769000 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 90200769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140870620800).

90200769000 is an abundant number, since it is smaller than the sum of its proper divisors (191540472600).

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

90200769000 is a wasteful number, since it uses less digits than its factorization.

90200769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 33646 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 90200769000 in words is "ninety billion, two hundred million, seven hundred sixty-nine thousand".