86538574667502 has 192 divisors, whose sum is σ = 214354983173760. Its totient is φ = 25067608473600.

The previous prime is 86538574667497. The next prime is 86538574667537. The reversal of 86538574667502 is 20576647583568.

86538574667502 is a `hidden beast` number, since 8 + 6 + 5 + 3 + 8 + 57 + 4 + 6 + 67 + 502 = 666.

86538574667502 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 914533752 + ... + 914628372.

It is an arithmetic number, because the mean of its divisors is an integer number (1116432204030).

Almost surely, 2^{86538574667502} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86538574667502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107177491586880).

86538574667502 is an abundant number, since it is smaller than the sum of its proper divisors (127816408506258).

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

86538574667502 is a wasteful number, since it uses less digits than its factorization.

86538574667502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99179 (or 99176 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 86538574667502 in words is "eighty-six trillion, five hundred thirty-eight billion, five hundred seventy-four million, six hundred sixty-seven thousand, five hundred two".