90265651840 has 192 divisors, whose sum is σ = 270333209160. Its totient is φ = 28567461888.

The previous prime is 90265651831. The next prime is 90265651849. The reversal of 90265651840 is 4815656209.

It is an interprime number because it is at equal distance from previous prime (90265651831) and next prime (90265651849).

It can be written as a sum of positive squares in 4 ways, for example, as 48509181504 + 41756470336 = 220248^2 + 204344^2 .

It is not an unprimeable number, because it can be changed into a prime (90265651849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296974 + ... + 518386.

Almost surely, 2^90265651840 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 90265651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135166604580).

90265651840 is an abundant number, since it is smaller than the sum of its proper divisors (180067557320).

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

90265651840 is a wasteful number, since it uses less digits than its factorization.

90265651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221459 (or 221440 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 90265651840 in words is "ninety billion, two hundred sixty-five million, six hundred fifty-one thousand, eight hundred forty".