86363947138560 has 480 divisors, whose sum is σ = 345876951020832. Its totient is φ = 18221842759680.

The previous prime is 86363947138559. The next prime is 86363947138577. The reversal of 86363947138560 is 6583174936368.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934611 + ... + 13718930.

Almost surely, 2^{86363947138560} is an apocalyptic number.

86363947138560 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 86363947138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172938475510416).

86363947138560 is an abundant number, since it is smaller than the sum of its proper divisors (259513003882272).

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

86363947138560 is a wasteful number, since it uses less digits than its factorization.

86363947138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17653594 (or 17653571 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 86363947138560 in words is "eighty-six trillion, three hundred sixty-three billion, nine hundred forty-seven million, one hundred thirty-eight thousand, five hundred sixty".