82894010880 has 320 divisors, whose sum is σ = 270189063936. Its totient is φ = 21676032000.

The previous prime is 82894010851. The next prime is 82894010891. The reversal of 82894010880 is 8801049828.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153223410 + ... + 153223950.

Almost surely, 2^82894010880 is an apocalyptic number.

82894010880 is a gapful number since it is divisible by the number (80) 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 82894010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135094531968).

82894010880 is an abundant number, since it is smaller than the sum of its proper divisors (187295053056).

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

82894010880 is a wasteful number, since it uses less digits than its factorization.

82894010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 82894010880 in words is "eighty-two billion, eight hundred ninety-four million, ten thousand, eight hundred eighty".