90650419200 has 1008 divisors, whose sum is σ = 376492349376. Its totient is φ = 20604518400.

The previous prime is 90650419199. The next prime is 90650419207. The reversal of 90650419200 is 291405609.

It is a super-2 number, since 2×90650419200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90650419207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344678269 + ... + 344678531.

Almost surely, 2^90650419200 is an apocalyptic number.

90650419200 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 90650419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188246174688).

90650419200 is an abundant number, since it is smaller than the sum of its proper divisors (285841930176).

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

90650419200 is a wasteful number, since it uses less digits than its factorization.

90650419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 90650419200 in words is "ninety billion, six hundred fifty million, four hundred nineteen thousand, two hundred".