86870073888 has 576 divisors, whose sum is σ = 299987251200. Its totient is φ = 24488801280.

The previous prime is 86870073887. The next prime is 86870073937. The reversal of 86870073888 is 88837007868.

It is not an unprimeable number, because it can be changed into a prime (86870073887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59540103 + ... + 59541561.

It is an arithmetic number, because the mean of its divisors is an integer number (520811200).

Almost surely, 2^86870073888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86870073888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149993625600).

86870073888 is an abundant number, since it is smaller than the sum of its proper divisors (213117177312).

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

86870073888 is a wasteful number, since it uses less digits than its factorization.

86870073888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 86870073888 in words is "eighty-six billion, eight hundred seventy million, seventy-three thousand, eight hundred eighty-eight".