86580952281600 has 480 divisors, whose sum is σ = 327204865929216. Its totient is φ = 19769901465600.

The previous prime is 86580952281599. The next prime is 86580952281647. The reversal of 86580952281600 is 618225908568.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×86580952281600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 266218287 + ... + 266543313.

Almost surely, 2^{86580952281600} is an apocalyptic number.

86580952281600 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 86580952281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163602432964608).

86580952281600 is an abundant number, since it is smaller than the sum of its proper divisors (240623913647616).

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

86580952281600 is a wasteful number, since it uses less digits than its factorization.

86580952281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326056 (or 326035 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 86580952281600 in words is "eighty-six trillion, five hundred eighty billion, nine hundred fifty-two million, two hundred eighty-one thousand, six hundred".