86096800251 has 48 divisors (see below), whose sum is σ = 156497971968. Its totient is φ = 44307576000.

The previous prime is 86096800201. The next prime is 86096800253. The reversal of 86096800251 is 15200869068.

It is not a de Polignac number, because 86096800251 - 2¹⁰ = 86096799227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86096800197 and 86096800206.

It is not an unprimeable number, because it can be changed into a prime (86096800253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506400 + ... + 654701.

It is an arithmetic number, because the mean of its divisors is an integer number (3260374416).

Almost surely, 2^86096800251 is an apocalyptic number.

86096800251 is a deficient number, since it is larger than the sum of its proper divisors (70401171717).

86096800251 is a wasteful number, since it uses less digits than its factorization.

86096800251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161232 (or 1161229 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 86096800251 in words is "eighty-six billion, ninety-six million, eight hundred thousand, two hundred fifty-one".