90190655280 has 800 divisors, whose sum is σ = 354265325568. Its totient is φ = 21163161600.

The previous prime is 90190655263. The next prime is 90190655293. The reversal of 90190655280 is 8255609109.

90190655280 is a `hidden beast` number, since 9 + 0 + 1 + 90 + 6 + 552 + 8 + 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 710162577 + ... + 710162703.

Almost surely, 2^90190655280 is an apocalyptic number.

90190655280 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 90190655280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177132662784).

90190655280 is an abundant number, since it is smaller than the sum of its proper divisors (264074670288).

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

90190655280 is a wasteful number, since it uses less digits than its factorization.

90190655280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 90190655280 in words is "ninety billion, one hundred ninety million, six hundred fifty-five thousand, two hundred eighty".