90152342280 has 2160 divisors, whose sum is σ = 440359518060. Its totient is φ = 16381854720.

The previous prime is 90152342243. The next prime is 90152342347. The reversal of 90152342280 is 8224325109.

It is a happy number.

90152342280 is a `hidden beast` number, since 9 + 0 + 152 + 3 + 422 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83911026276 + 6241316004 = 289674^2 + 79002^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 4744860111 + ... + 4744860129.

Almost surely, 2^90152342280 is an apocalyptic number.

90152342280 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 90152342280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220179759030).

90152342280 is an abundant number, since it is smaller than the sum of its proper divisors (350207175780).

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

90152342280 is a wasteful number, since it uses less digits than its factorization.

90152342280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 90152342280 its reverse (8224325109), we get a palindrome (98376667389).

The spelling of 90152342280 in words is "ninety billion, one hundred fifty-two million, three hundred forty-two thousand, two hundred eighty".