86525002033092 has 288 divisors, whose sum is σ = 254971530777600. Its totient is φ = 24228558072576.

The previous prime is 86525002033081. The next prime is 86525002033097. The reversal of 86525002033092 is 29033020052568.

86525002033092 is a `hidden beast` number, since 8 + 6 + 5 + 2 + 500 + 20 + 3 + 30 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (86525002033097) 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, 7113781803 + ... + 7113793965.

It is an arithmetic number, because the mean of its divisors is an integer number (885317815200).

Almost surely, 2^{86525002033092} 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 86525002033092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127485765388800).

86525002033092 is an abundant number, since it is smaller than the sum of its proper divisors (168446528744508).

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

86525002033092 is a wasteful number, since it uses less digits than its factorization.

86525002033092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 86525002033092 in words is "eighty-six trillion, five hundred twenty-five billion, two million, thirty-three thousand, ninety-two".