82906480000 has 80 divisors (see below), whose sum is σ = 206390699460. Its totient is φ = 33162560000.

The previous prime is 82906479991. The next prime is 82906480051. The reversal of 82906480000 is 8460928.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×82906480000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 438166 + ... + 598165.

Almost surely, 2^82906480000 is an apocalyptic number.

82906480000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82906480000 is an abundant number, since it is smaller than the sum of its proper divisors (123484219460).

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

82906480000 is an equidigital number, since it uses as much as digits as its factorization.

82906480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036365 (or 1036338 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 82906480000 in words is "eighty-two billion, nine hundred six million, four hundred eighty thousand".