82813199040 has 896 divisors, whose sum is σ = 347261322240. Its totient is φ = 18314035200.

The previous prime is 82813198913. The next prime is 82813199083. The reversal of 82813199040 is 4099131828.

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 127 ways as a sum of consecutive naturals, for example, 119845095 + ... + 119845785.

It is an arithmetic number, because the mean of its divisors is an integer number (387568440).

Almost surely, 2^82813199040 is an apocalyptic number.

82813199040 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 82813199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173630661120).

82813199040 is an abundant number, since it is smaller than the sum of its proper divisors (264448123200).

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

82813199040 is a wasteful number, since it uses less digits than its factorization.

82813199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 82813199040 in words is "eighty-two billion, eight hundred thirteen million, one hundred ninety-nine thousand, forty".