86100121998 has 96 divisors (see below), whose sum is σ = 208911306240. Its totient is φ = 25407457920.

The previous prime is 86100121993. The next prime is 86100121999. The reversal of 86100121998 is 89912100168.

86100121998 is a `hidden beast` number, since 8 + 610 + 0 + 1 + 21 + 9 + 9 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86100121993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104165 + ... + 1179567.

It is an arithmetic number, because the mean of its divisors is an integer number (2176159440).

Almost surely, 2^86100121998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86100121998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104455653120).

86100121998 is an abundant number, since it is smaller than the sum of its proper divisors (122811184242).

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

86100121998 is a wasteful number, since it uses less digits than its factorization.

86100121998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75574 (or 75571 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 86100121998 in words is "eighty-six billion, one hundred million, one hundred twenty-one thousand, nine hundred ninety-eight".