86251260178776 has 384 divisors, whose sum is σ = 286852150448640. Its totient is φ = 21081665679360.

The previous prime is 86251260178751. The next prime is 86251260178777. The reversal of 86251260178776 is 67787106215268.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86251260178777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2597678191 + ... + 2597711393.

It is an arithmetic number, because the mean of its divisors is an integer number (747010808460).

Almost surely, 2^{86251260178776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86251260178776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143426075224320).

86251260178776 is an abundant number, since it is smaller than the sum of its proper divisors (200600890269864).

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

86251260178776 is a wasteful number, since it uses less digits than its factorization.

86251260178776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40775 (or 40760 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 66.

The spelling of 86251260178776 in words is "eighty-six trillion, two hundred fifty-one billion, two hundred sixty million, one hundred seventy-eight thousand, seven hundred seventy-six".