82240760952 has 96 divisors (see below), whose sum is σ = 255002997600. Its totient is φ = 23455982592.

The previous prime is 82240760939. The next prime is 82240760983. The reversal of 82240760952 is 25906704228.

It is a junction number, because it is equal to n+sod(n) for n = 82240760898 and 82240760907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143388 + ... + 430164.

It is an arithmetic number, because the mean of its divisors is an integer number (2656281225).

Almost surely, 2^82240760952 is an apocalyptic number.

It is a pronic number, being equal to 286776×286777.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82240760952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127501498800).

82240760952 is an abundant number, since it is smaller than the sum of its proper divisors (172762236648).

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

82240760952 is a wasteful number, since it uses less digits than its factorization.

82240760952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287365 (or 287358 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 82240760952 in words is "eighty-two billion, two hundred forty million, seven hundred sixty thousand, nine hundred fifty-two".