86770362240 has 512 divisors, whose sum is σ = 317965824000. Its totient is φ = 22629279744.

The previous prime is 86770362199. The next prime is 86770362271. The reversal of 86770362240 is 4226307768.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65784301 + ... + 65785619.

It is an arithmetic number, because the mean of its divisors is an integer number (621027000).

Almost surely, 2^86770362240 is an apocalyptic number.

86770362240 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 86770362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158982912000).

86770362240 is an abundant number, since it is smaller than the sum of its proper divisors (231195461760).

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

86770362240 is an equidigital number, since it uses as much as digits as its factorization.

86770362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 86770362240 in words is "eighty-six billion, seven hundred seventy million, three hundred sixty-two thousand, two hundred forty".