86494086412272 has 3200 divisors, whose sum is σ = 357048838840320. Its totient is φ = 19673006284800.

The previous prime is 86494086412271. The next prime is 86494086412301. The reversal of 86494086412272 is 27221468049468.

It is a happy number.

86494086412272 is a `hidden beast` number, since 8 + 6 + 49 + 408 + 64 + 122 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86494086412271) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 261311439147 + ... + 261311439477.

Almost surely, 2^{86494086412272} 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 86494086412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178524419420160).

86494086412272 is an abundant number, since it is smaller than the sum of its proper divisors (270554752428048).

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

86494086412272 is a wasteful number, since it uses less digits than its factorization.

86494086412272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 86494086412272 in words is "eighty-six trillion, four hundred ninety-four billion, eighty-six million, four hundred twelve thousand, two hundred seventy-two".