90833127200 has 144 divisors (see below), whose sum is σ = 239367804480. Its totient is φ = 33554949120.

The previous prime is 90833127179. The next prime is 90833127221. The reversal of 90833127200 is 272133809.

It is an interprime number because it is at equal distance from previous prime (90833127179) and next prime (90833127221).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448487 + ... + 618713.

It is an arithmetic number, because the mean of its divisors is an integer number (1662276420).

Almost surely, 2^90833127200 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 90833127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119683902240).

90833127200 is an abundant number, since it is smaller than the sum of its proper divisors (148534677280).

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

90833127200 is a wasteful number, since it uses less digits than its factorization.

90833127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170299 (or 170286 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 90833127200 in words is "ninety billion, eight hundred thirty-three million, one hundred twenty-seven thousand, two hundred".