90571409280 has 512 divisors, whose sum is σ = 365167180800. Its totient is φ = 21001052160.

The previous prime is 90571409273. The next prime is 90571409297. The reversal of 90571409280 is 8290417509.

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 63 ways as a sum of consecutive naturals, for example, 4361482 + ... + 4382198.

It is an arithmetic number, because the mean of its divisors is an integer number (713217150).

Almost surely, 2^90571409280 is an apocalyptic number.

90571409280 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 90571409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182583590400).

90571409280 is an abundant number, since it is smaller than the sum of its proper divisors (274595771520).

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

90571409280 is a wasteful number, since it uses less digits than its factorization.

90571409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20779 (or 20761 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 90571409280 in words is "ninety billion, five hundred seventy-one million, four hundred nine thousand, two hundred eighty".