86225053126401 has 20 divisors (see below), whose sum is σ = 147206087172672. Its totient is φ = 49271458929048.

The previous prime is 86225053126339. The next prime is 86225053126403. The reversal of 86225053126401 is 10462135052268.

86225053126401 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 50 + 531 + 2 + 64 + 0 + 1 = 666.

It is not a de Polignac number, because 86225053126401 - 2⁹ = 86225053125889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86225053126403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76036201485 + ... + 76036202618.

Almost surely, 2^{86225053126401} is an apocalyptic number.

86225053126401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86225053126401 is a deficient number, since it is larger than the sum of its proper divisors (60981034046271).

86225053126401 is a wasteful number, since it uses less digits than its factorization.

86225053126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152072404122 (or 152072404113 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 86225053126401 its reverse (10462135052268), we get a palindrome (96687188178669).

The spelling of 86225053126401 in words is "eighty-six trillion, two hundred twenty-five billion, fifty-three million, one hundred twenty-six thousand, four hundred one".