9250090963020 has 288 divisors, whose sum is σ = 28928956650048. Its totient is φ = 2390710173696.

The previous prime is 9250090962979. The next prime is 9250090963097. The reversal of 9250090963020 is 203690900529.

9250090963020 is a `hidden beast` number, since 9 + 2 + 5 + 0 + 0 + 9 + 0 + 9 + 630 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4328539392 + ... + 4328541528.

It is an arithmetic number, because the mean of its divisors is an integer number (100447766146).

Almost surely, 2^{9250090963020} is an apocalyptic number.

9250090963020 is a gapful number since it is divisible by the number (90) 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 9250090963020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464478325024).

9250090963020 is an abundant number, since it is smaller than the sum of its proper divisors (19678865687028).

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

9250090963020 is a wasteful number, since it uses less digits than its factorization.

9250090963020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 9250090963020 in words is "nine trillion, two hundred fifty billion, ninety million, nine hundred sixty-three thousand, twenty".