82389087438000 has 320 divisors, whose sum is σ = 313361014087680. Its totient is φ = 18224313984000.

The previous prime is 82389087437953. The next prime is 82389087438013. The reversal of 82389087438000 is 83478098328.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 30337435 + ... + 32941434.

It is an arithmetic number, because the mean of its divisors is an integer number (979253169024).

Almost surely, 2^{82389087438000} is an apocalyptic number.

82389087438000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82389087438000 is an abundant number, since it is smaller than the sum of its proper divisors (230971926649680).

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

82389087438000 is a wasteful number, since it uses less digits than its factorization.

82389087438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63278933 (or 63278917 counting only the distinct ones).

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

The spelling of 82389087438000 in words is "eighty-two trillion, three hundred eighty-nine billion, eighty-seven million, four hundred thirty-eight thousand".