82411880000 has 140 divisors (see below), whose sum is σ = 205293285120. Its totient is φ = 32813376000.

The previous prime is 82411879969. The next prime is 82411880027. The reversal of 82411880000 is 8811428.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8915381 + ... + 8924619.

It is an arithmetic number, because the mean of its divisors is an integer number (1466380608).

Almost surely, 2^82411880000 is an apocalyptic number.

82411880000 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 82411880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102646642560).

82411880000 is an abundant number, since it is smaller than the sum of its proper divisors (122881405120).

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

82411880000 is an equidigital number, since it uses as much as digits as its factorization.

82411880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 82411880000 in words is "eighty-two billion, four hundred eleven million, eight hundred eighty thousand".