86251257211441 has 32 divisors (see below), whose sum is σ = 105408263001600. Its totient is φ = 70411815758592.

The previous prime is 86251257211429. The next prime is 86251257211447. The reversal of 86251257211441 is 14411275215268.

It is not a de Polignac number, because 86251257211441 - 2²⁷ = 86251122993713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86251257211447) 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, 21623460 + ... + 25299733.

It is an arithmetic number, because the mean of its divisors is an integer number (3294008218800).

Almost surely, 2^{86251257211441} is an apocalyptic number.

It is an amenable number.

86251257211441 is a deficient number, since it is larger than the sum of its proper divisors (19157005790159).

86251257211441 is a wasteful number, since it uses less digits than its factorization.

86251257211441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46923470 (or 46923456 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 49.

The spelling of 86251257211441 in words is "eighty-six trillion, two hundred fifty-one billion, two hundred fifty-seven million, two hundred eleven thousand, four hundred forty-one".