82941545652000 has 1536 divisors, whose sum is σ = 336371436011520. Its totient is φ = 17440535347200.

The previous prime is 82941545651959. The next prime is 82941545652047. The reversal of 82941545652000 is 25654514928.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39741994957 + ... + 39741997043.

It is an arithmetic number, because the mean of its divisors is an integer number (218991820320).

Almost surely, 2^{82941545652000} is an apocalyptic number.

82941545652000 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 82941545652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168185718005760).

82941545652000 is an abundant number, since it is smaller than the sum of its proper divisors (253429890359520).

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

82941545652000 is a wasteful number, since it uses less digits than its factorization.

82941545652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 82941545652000 in words is "eighty-two trillion, nine hundred forty-one billion, five hundred forty-five million, six hundred fifty-two thousand".