82886388480 has 576 divisors, whose sum is σ = 338525644800. Its totient is φ = 18811699200.

The previous prime is 82886388479. The next prime is 82886388523. The reversal of 82886388480 is 8488368828.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36528786 + ... + 36531054.

Almost surely, 2^82886388480 is an apocalyptic number.

82886388480 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 82886388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169262822400).

82886388480 is an abundant number, since it is smaller than the sum of its proper divisors (255639256320).

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

82886388480 is a wasteful number, since it uses less digits than its factorization.

82886388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 82886388480 in words is "eighty-two billion, eight hundred eighty-six million, three hundred eighty-eight thousand, four hundred eighty".