86961393526560 has 384 divisors, whose sum is σ = 314436553482240. Its totient is φ = 19789589385216.

The previous prime is 86961393526523. The next prime is 86961393526571. The reversal of 86961393526560 is 6562539316968.

It is a super-3 number, since 3×86961393526560³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5527316454 + ... + 5527332186.

It is an arithmetic number, because the mean of its divisors is an integer number (818845191360).

Almost surely, 2^{86961393526560} is an apocalyptic number.

86961393526560 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 86961393526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157218276741120).

86961393526560 is an abundant number, since it is smaller than the sum of its proper divisors (227475159955680).

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

86961393526560 is a wasteful number, since it uses less digits than its factorization.

86961393526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22880 (or 22872 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 69.

The spelling of 86961393526560 in words is "eighty-six trillion, nine hundred sixty-one billion, three hundred ninety-three million, five hundred twenty-six thousand, five hundred sixty".