82887060480 has 704 divisors, whose sum is σ = 324122176512. Its totient is φ = 17647534080.

The previous prime is 82887060479. The next prime is 82887060491. The reversal of 82887060480 is 8406078828.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250413915 + ... + 250414245.

Almost surely, 2^82887060480 is an apocalyptic number.

82887060480 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 82887060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162061088256).

82887060480 is an abundant number, since it is smaller than the sum of its proper divisors (241235116032).

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

82887060480 is a wasteful number, since it uses less digits than its factorization.

82887060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 82887060480 in words is "eighty-two billion, eight hundred eighty-seven million, sixty thousand, four hundred eighty".