86881431087360 has 1728 divisors, whose sum is σ = 373643120987136. Its totient is φ = 18150005145600.

The previous prime is 86881431087343. The next prime is 86881431087371. The reversal of 86881431087360 is 6378013418868.

86881431087360 is a `hidden beast` number, since 8 + 68 + 8 + 1 + 431 + 0 + 87 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49903176090 + ... + 49903177830.

Almost surely, 2^{86881431087360} is an apocalyptic number.

86881431087360 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 86881431087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186821560493568).

86881431087360 is an abundant number, since it is smaller than the sum of its proper divisors (286761689899776).

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

86881431087360 is a wasteful number, since it uses less digits than its factorization.

86881431087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 86881431087360 in words is "eighty-six trillion, eight hundred eighty-one billion, four hundred thirty-one million, eighty-seven thousand, three hundred sixty".