82918190940 has 192 divisors, whose sum is σ = 253226029056. Its totient is φ = 20150995968.

The previous prime is 82918190939. The next prime is 82918191007. The reversal of 82918190940 is 4909181928.

It is a congruent number.

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, 29965437 + ... + 29968203.

It is an arithmetic number, because the mean of its divisors is an integer number (1318885568).

Almost surely, 2^82918190940 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 82918190940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126613014528).

82918190940 is an abundant number, since it is smaller than the sum of its proper divisors (170307838116).

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

82918190940 is a wasteful number, since it uses less digits than its factorization.

82918190940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 82918190940 in words is "eighty-two billion, nine hundred eighteen million, one hundred ninety thousand, nine hundred forty".