90982770480 has 800 divisors, whose sum is σ = 377495838720. Its totient is φ = 19871723520.

The previous prime is 90982770479. The next prime is 90982770497. The reversal of 90982770480 is 8407728909.

90982770480 is a `hidden beast` number, since 9 + 0 + 98 + 2 + 7 + 70 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 125147877 + ... + 125148603.

Almost surely, 2^90982770480 is an apocalyptic number.

90982770480 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 90982770480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188747919360).

90982770480 is an abundant number, since it is smaller than the sum of its proper divisors (286513068240).

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

90982770480 is a wasteful number, since it uses less digits than its factorization.

90982770480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 90982770480 in words is "ninety billion, nine hundred eighty-two million, seven hundred seventy thousand, four hundred eighty".