87611086207100 has 144 divisors (see below), whose sum is σ = 205388254622880. Its totient is φ = 32319762432000.

The previous prime is 87611086207069. The next prime is 87611086207111. The reversal of 87611086207100 is 170268011678.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14024711 + ... + 19285089.

It is an arithmetic number, because the mean of its divisors is an integer number (1426307323770).

Almost surely, 2^{87611086207100} 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 87611086207100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102694127311440).

87611086207100 is an abundant number, since it is smaller than the sum of its proper divisors (117777168415780).

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

87611086207100 is a wasteful number, since it uses less digits than its factorization.

87611086207100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260608 (or 5260601 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 47.

The spelling of 87611086207100 in words is "eighty-seven trillion, six hundred eleven billion, eighty-six million, two hundred seven thousand, one hundred".