90353249280 has 352 divisors, whose sum is σ = 366974369280. Its totient is φ = 20651950080.

The previous prime is 90353249279. The next prime is 90353249297. The reversal of 90353249280 is 8294235309.

It is a happy number.

90353249280 is a `hidden beast` number, since 90 + 3 + 532 + 4 + 9 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920995 + ... + 1014365.

Almost surely, 2^90353249280 is an apocalyptic number.

90353249280 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 90353249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183487184640).

90353249280 is an abundant number, since it is smaller than the sum of its proper divisors (276621120000).

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

90353249280 is a wasteful number, since it uses less digits than its factorization.

90353249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93412 (or 93388 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 90353249280 in words is "ninety billion, three hundred fifty-three million, two hundred forty-nine thousand, two hundred eighty".