90187223040 has 416 divisors, whose sum is σ = 328169466240. Its totient is φ = 23484432384.

The previous prime is 90187223033. The next prime is 90187223041. The reversal of 90187223040 is 4032278109.

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

It is a junction number, because it is equal to n+sod(n) for n = 90187222986 and 90187223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90187223041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23775384 + ... + 23779176.

Almost surely, 2^90187223040 is an apocalyptic number.

90187223040 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 90187223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164084733120).

90187223040 is an abundant number, since it is smaller than the sum of its proper divisors (237982243200).

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

90187223040 is a wasteful number, since it uses less digits than its factorization.

90187223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 90187223040 in words is "ninety billion, one hundred eighty-seven million, two hundred twenty-three thousand, forty".