86969589221376 has 192 divisors, whose sum is σ = 257787763833600. Its totient is φ = 28971520671744.

The previous prime is 86969589221371. The next prime is 86969589221387. The reversal of 86969589221376 is 67312298596968.

86969589221376 is a `hidden beast` number, since 8 + 6 + 9 + 6 + 9 + 589 + 2 + 21 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 86969589221295 and 86969589221304.

It is not an unprimeable number, because it can be changed into a prime (86969589221371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87036790 + ... + 88030346.

It is an arithmetic number, because the mean of its divisors is an integer number (1342644603300).

Almost surely, 2^{86969589221376} 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 86969589221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128893881916800).

86969589221376 is an abundant number, since it is smaller than the sum of its proper divisors (170818174612224).

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

86969589221376 is a wasteful number, since it uses less digits than its factorization.

86969589221376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995171 (or 995145 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

The spelling of 86969589221376 in words is "eighty-six trillion, nine hundred sixty-nine billion, five hundred eighty-nine million, two hundred twenty-one thousand, three hundred seventy-six".