86711364379008 has 384 divisors, whose sum is σ = 259568080200000. Its totient is φ = 27751266385920.

The previous prime is 86711364378959. The next prime is 86711364379009. The reversal of 86711364379008 is 80097346311768.

86711364379008 is a `hidden beast` number, since 8 + 67 + 1 + 136 + 437 + 9 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86711364379009) 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, 20217149728 + ... + 20217154016.

Almost surely, 2^{86711364379008} 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 86711364379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129784040100000).

86711364379008 is an abundant number, since it is smaller than the sum of its proper divisors (172856715820992).

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

86711364379008 is a wasteful number, since it uses less digits than its factorization.

86711364379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 86711364379008 in words is "eighty-six trillion, seven hundred eleven billion, three hundred sixty-four million, three hundred seventy-nine thousand, eight".