86555845748736 has 1440 divisors, whose sum is σ = 323315767494720. Its totient is φ = 22587607351296.

The previous prime is 86555845748699. The next prime is 86555845748753. The reversal of 86555845748736 is 63784754855568.

86555845748736 is a `hidden beast` number, since 8 + 6 + 5 + 5 + 5 + 8 + 4 + 574 + 8 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19035811615 + ... + 19035816161.

It is an arithmetic number, because the mean of its divisors is an integer number (224524838538).

Almost surely, 2^{86555845748736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86555845748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161657883747360).

86555845748736 is an abundant number, since it is smaller than the sum of its proper divisors (236759921745984).

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

86555845748736 is a wasteful number, since it uses less digits than its factorization.

86555845748736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4669 counting only the distinct ones).

The product of its digits is 27095040000, while the sum is 81.

The spelling of 86555845748736 in words is "eighty-six trillion, five hundred fifty-five billion, eight hundred forty-five million, seven hundred forty-eight thousand, seven hundred thirty-six".