86688887040 has 1152 divisors, whose sum is σ = 367331328000. Its totient is φ = 19345858560.

The previous prime is 86688887011. The next prime is 86688887053. The reversal of 86688887040 is 4078888668.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 841639629 + ... + 841639731.

It is an arithmetic number, because the mean of its divisors is an integer number (318864000).

Almost surely, 2^86688887040 is an apocalyptic number.

86688887040 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 86688887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664000).

86688887040 is an abundant number, since it is smaller than the sum of its proper divisors (280642440960).

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

86688887040 is a wasteful number, since it uses less digits than its factorization.

86688887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 86688887040 in words is "eighty-six billion, six hundred eighty-eight million, eight hundred eighty-seven thousand, forty".