86101788478500 has 144 divisors (see below), whose sum is σ = 275343298474608. Its totient is φ = 22645949760000.

The previous prime is 86101788478499. The next prime is 86101788478583. The reversal of 86101788478500 is 587488710168.

86101788478500 is a `hidden beast` number, since 8 + 6 + 1 + 0 + 1 + 7 + 88 + 47 + 8 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12091865656896 + 74009922821604 = 3477336^2 + 8602902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130724451 + ... + 131381450.

It is an arithmetic number, because the mean of its divisors is an integer number (1912106239407).

Almost surely, 2^{86101788478500} is an apocalyptic number.

It is an amenable number.

86101788478500 is an abundant number, since it is smaller than the sum of its proper divisors (189241509996108).

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

86101788478500 is a wasteful number, since it uses less digits than its factorization.

86101788478500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262105999 (or 262105984 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 86101788478500 in words is "eighty-six trillion, one hundred one billion, seven hundred eighty-eight million, four hundred seventy-eight thousand, five hundred".