86789351040 has 512 divisors, whose sum is σ = 325721088000. Its totient is φ = 19243499520.

The previous prime is 86789351023. The next prime is 86789351087. The reversal of 86789351040 is 4015398768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131698231 + ... + 131698889.

It is an arithmetic number, because the mean of its divisors is an integer number (636174000).

Almost surely, 2^86789351040 is an apocalyptic number.

86789351040 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 86789351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544000).

86789351040 is an abundant number, since it is smaller than the sum of its proper divisors (238931736960).

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

86789351040 is a wasteful number, since it uses less digits than its factorization.

86789351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 86789351040 in words is "eighty-six billion, seven hundred eighty-nine million, three hundred fifty-one thousand, forty".