86847157440 has 336 divisors, whose sum is σ = 319567876992. Its totient is φ = 21571043328.

The previous prime is 86847157433. The next prime is 86847157447. The reversal of 86847157440 is 4475174868.

86847157440 is a `hidden beast` number, since 8 + 6 + 8 + 47 + 157 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (86847157433) and next prime (86847157447).

It is not an unprimeable number, because it can be changed into a prime (86847157447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4739977 + ... + 4758263.

It is an arithmetic number, because the mean of its divisors is an integer number (951094872).

Almost surely, 2^86847157440 is an apocalyptic number.

86847157440 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 86847157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159783938496).

86847157440 is an abundant number, since it is smaller than the sum of its proper divisors (232720719552).

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

86847157440 is a wasteful number, since it uses less digits than its factorization.

86847157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18424 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 86847157440 in words is "eighty-six billion, eight hundred forty-seven million, one hundred fifty-seven thousand, four hundred forty".