82941345900 has 288 divisors, whose sum is σ = 322659348480. Its totient is φ = 17842775040.

The previous prime is 82941345853. The next prime is 82941345913. The reversal of 82941345900 is 954314928.

82941345900 is a `hidden beast` number, since 8 + 29 + 4 + 1 + 34 + 590 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192229 + ... + 450371.

It is an arithmetic number, because the mean of its divisors is an integer number (1120344960).

Almost surely, 2^82941345900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82941345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161329674240).

82941345900 is an abundant number, since it is smaller than the sum of its proper divisors (239718002580).

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

82941345900 is a wasteful number, since it uses less digits than its factorization.

82941345900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258190 (or 258177 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82941345900 in words is "eighty-two billion, nine hundred forty-one million, three hundred forty-five thousand, nine hundred".