90224837820 has 288 divisors, whose sum is σ = 306313539840. Its totient is φ = 22036734720.

The previous prime is 90224837819. The next prime is 90224837831. The reversal of 90224837820 is 2873842209.

90224837820 is a `hidden beast` number, since 90 + 2 + 2 + 483 + 7 + 82 + 0 = 666.

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

It is a congruent number.

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, 11951287 + ... + 11958833.

It is an arithmetic number, because the mean of its divisors is an integer number (1063588680).

Almost surely, 2^90224837820 is an apocalyptic number.

90224837820 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 90224837820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153156769920).

90224837820 is an abundant number, since it is smaller than the sum of its proper divisors (216088702020).

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

90224837820 is a wasteful number, since it uses less digits than its factorization.

90224837820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 90224837820 in words is "ninety billion, two hundred twenty-four million, eight hundred thirty-seven thousand, eight hundred twenty".