82293719040 has 896 divisors, whose sum is σ = 324912568680. Its totient is φ = 19874709504.

The previous prime is 82293718943. The next prime is 82293719041. The reversal of 82293719040 is 4091739228.

It can be written as a sum of positive squares in 4 ways, for example, as 60209381376 + 22084337664 = 245376^2 + 148608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82293719041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1552711654 + ... + 1552711706.

Almost surely, 2^82293719040 is an apocalyptic number.

82293719040 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 82293719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162456284340).

82293719040 is an abundant number, since it is smaller than the sum of its proper divisors (242618849640).

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

82293719040 is an frugal number, since it uses more digits than its factorization.

82293719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 82293719040 in words is "eighty-two billion, two hundred ninety-three million, seven hundred nineteen thousand, forty".