90280673280 has 1200 divisors, whose sum is σ = 396491185440. Its totient is φ = 19421724672.

The previous prime is 90280673269. The next prime is 90280673299. The reversal of 90280673280 is 8237608209.

90280673280 is a `hidden beast` number, since 90 + 280 + 6 + 7 + 3 + 280 = 666.

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 79 ways as a sum of consecutive naturals, for example, 5310627832 + ... + 5310627848.

Almost surely, 2^90280673280 is an apocalyptic number.

90280673280 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 90280673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198245592720).

90280673280 is an abundant number, since it is smaller than the sum of its proper divisors (306210512160).

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

90280673280 is an frugal number, since it uses more digits than its factorization.

90280673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 90280673280 in words is "ninety billion, two hundred eighty million, six hundred seventy-three thousand, two hundred eighty".