86541587151628 has 96 divisors (see below), whose sum is σ = 176584181760000. Its totient is φ = 36343267119936.

The previous prime is 86541587151623. The next prime is 86541587151637. The reversal of 86541587151628 is 82615178514568.

86541587151628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (86541587151623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681672325 + ... + 681799267.

It is an arithmetic number, because the mean of its divisors is an integer number (1839418560000).

Almost surely, 2^{86541587151628} is an apocalyptic number.

It is an amenable number.

86541587151628 is an abundant number, since it is smaller than the sum of its proper divisors (90042594608372).

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

86541587151628 is a wasteful number, since it uses less digits than its factorization.

86541587151628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128339 (or 128337 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 67.

The spelling of 86541587151628 in words is "eighty-six trillion, five hundred forty-one billion, five hundred eighty-seven million, one hundred fifty-one thousand, six hundred twenty-eight".