82313562240 has 768 divisors, whose sum is σ = 356553550080. Its totient is φ = 17033822208.

The previous prime is 82313562179. The next prime is 82313562241. The reversal of 82313562240 is 4226531328.

82313562240 is a `hidden beast` number, since 8 + 23 + 1 + 3 + 5 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82313562195 and 82313562204.

It is not an unprimeable number, because it can be changed into a prime (82313562241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27778999 + ... + 27781961.

It is an arithmetic number, because the mean of its divisors is an integer number (464262435).

Almost surely, 2^82313562240 is an apocalyptic number.

82313562240 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 82313562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178276775040).

82313562240 is an abundant number, since it is smaller than the sum of its proper divisors (274239987840).

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

82313562240 is a wasteful number, since it uses less digits than its factorization.

82313562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 82313562240 in words is "eighty-two billion, three hundred thirteen million, five hundred sixty-two thousand, two hundred forty".