82487808000 has 1456 divisors, whose sum is σ = 351951019056. Its totient is φ = 19110297600.

The previous prime is 82487807993. The next prime is 82487808043. The reversal of 82487808000 is 80878428.

It can be written as a sum of positive squares in 8 ways, for example, as 30460022784 + 52027785216 = 174528^2 + 228096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4852223992 + ... + 4852224008.

It is an arithmetic number, because the mean of its divisors is an integer number (241724601).

Almost surely, 2^82487808000 is an apocalyptic number.

82487808000 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 82487808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175975509528).

82487808000 is an abundant number, since it is smaller than the sum of its proper divisors (269463211056).

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

82487808000 is an equidigital number, since it uses as much as digits as its factorization.

82487808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 82487808000 in words is "eighty-two billion, four hundred eighty-seven million, eight hundred eight thousand".