86895660240 has 240 divisors, whose sum is σ = 293645111760. Its totient is φ = 23028203520.

The previous prime is 86895660221. The next prime is 86895660277. The reversal of 86895660240 is 4206659868.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12556547136 + 74339113104 = 112056^2 + 272652^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129116544 + ... + 129117216.

It is an arithmetic number, because the mean of its divisors is an integer number (1223521299).

Almost surely, 2^86895660240 is an apocalyptic number.

86895660240 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 86895660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146822555880).

86895660240 is an abundant number, since it is smaller than the sum of its proper divisors (206749451520).

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

86895660240 is a wasteful number, since it uses less digits than its factorization.

86895660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 86895660240 in words is "eighty-six billion, eight hundred ninety-five million, six hundred sixty thousand, two hundred forty".