82869627480 has 128 divisors (see below), whose sum is σ = 251087316480. Its totient is φ = 21879244800.

The previous prime is 82869627427. The next prime is 82869627499. The reversal of 82869627480 is 8472696828.

It is a Smith number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5555392 + ... + 5570288.

It is an arithmetic number, because the mean of its divisors is an integer number (1961619660).

Almost surely, 2^82869627480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82869627480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125543658240).

82869627480 is an abundant number, since it is smaller than the sum of its proper divisors (168217689000).

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

82869627480 is a wasteful number, since it uses less digits than its factorization.

82869627480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15369 (or 15365 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 82869627480 in words is "eighty-two billion, eight hundred sixty-nine million, six hundred twenty-seven thousand, four hundred eighty".