86667827904 has 672 divisors, whose sum is σ = 309634404352. Its totient is φ = 23514624000.

The previous prime is 86667827861. The next prime is 86667827923. The reversal of 86667827904 is 40972876668.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×86667827904² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205861614 + ... + 205862034.

Almost surely, 2^86667827904 is an apocalyptic number.

86667827904 is a gapful number since it is divisible by the number (84) 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 86667827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154817202176).

86667827904 is an abundant number, since it is smaller than the sum of its proper divisors (222966576448).

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

86667827904 is a wasteful number, since it uses less digits than its factorization.

86667827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 86667827904 in words is "eighty-six billion, six hundred sixty-seven million, eight hundred twenty-seven thousand, nine hundred four".