86261987100 has 72 divisors (see below), whose sum is σ = 250674771760. Its totient is φ = 22902727680.

The previous prime is 86261987059. The next prime is 86261987107. The reversal of 86261987100 is 178916268.

It is a super-2 number, since 2×86261987100² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86261987100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86261987107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 559117 + ... + 696516.

Almost surely, 2^86261987100 is an apocalyptic number.

It is an amenable number.

86261987100 is an abundant number, since it is smaller than the sum of its proper divisors (164412784660).

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

86261987100 is a wasteful number, since it uses less digits than its factorization.

86261987100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255879 (or 1255872 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 86261987100 in words is "eighty-six billion, two hundred sixty-one million, nine hundred eighty-seven thousand, one hundred".