83259009582552 has 112 divisors (see below), whose sum is σ = 234081635643000. Its totient is φ = 27750306502656.

The previous prime is 83259009582503. The next prime is 83259009582559. The reversal of 83259009582552 is 25528590095238.

83259009582552 is a `hidden beast` number, since 8 + 3 + 25 + 9 + 0 + 0 + 9 + 58 + 2 + 552 = 666.

It is a super-2 number, since 2×83259009582552² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83259009582552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83259009582559) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59783599 + ... + 61160417.

Almost surely, 2^{83259009582552} 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 83259009582552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117040817821500).

83259009582552 is an abundant number, since it is smaller than the sum of its proper divisors (150822626060448).

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

83259009582552 is a wasteful number, since it uses less digits than its factorization.

83259009582552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387212 (or 1387193 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 83259009582552 in words is "eighty-three trillion, two hundred fifty-nine billion, nine million, five hundred eighty-two thousand, five hundred fifty-two".