86881092480 has 1152 divisors, whose sum is σ = 390202656480. Its totient is φ = 18310053888.

The previous prime is 86881092479. The next prime is 86881092523. The reversal of 86881092480 is 8429018868.

86881092480 is a `hidden beast` number, since 8 + 68 + 8 + 10 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99065802 + ... + 99066678.

Almost surely, 2^86881092480 is an apocalyptic number.

86881092480 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 86881092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195101328240).

86881092480 is an abundant number, since it is smaller than the sum of its proper divisors (303321564000).

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

86881092480 is a wasteful number, since it uses less digits than its factorization.

86881092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 86881092480 in words is "eighty-six billion, eight hundred eighty-one million, ninety-two thousand, four hundred eighty".