86191647482880 has 264 divisors, whose sum is σ = 298666805154432. Its totient is φ = 22983285620736.

The previous prime is 86191647482741. The next prime is 86191647482887. The reversal of 86191647482880 is 8828474619168.

It is a happy number.

86191647482880 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 1 + 64 + 7 + 482 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86191647482799 and 86191647482808.

It is not an unprimeable number, because it can be changed into a prime (86191647482887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321864359 + ... + 1321929561.

It is an arithmetic number, because the mean of its divisors is an integer number (1131313655888).

Almost surely, 2^{86191647482880} is an apocalyptic number.

86191647482880 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 86191647482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149333402577216).

86191647482880 is an abundant number, since it is smaller than the sum of its proper divisors (212475157671552).

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

86191647482880 is a wasteful number, since it uses less digits than its factorization.

86191647482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93921 (or 93900 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 86191647482880 in words is "eighty-six trillion, one hundred ninety-one billion, six hundred forty-seven million, four hundred eighty-two thousand, eight hundred eighty".