86277045141504 has 720 divisors, whose sum is σ = 299199618748800. Its totient is φ = 24498350456832.

The previous prime is 86277045141479. The next prime is 86277045141557. The reversal of 86277045141504 is 40514154077268.

It is a happy number.

86277045141504 is a `hidden beast` number, since 8 + 6 + 2 + 7 + 70 + 4 + 514 + 1 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3533181007 + ... + 3533205425.

It is an arithmetic number, because the mean of its divisors is an integer number (415555026040).

Almost surely, 2^{86277045141504} is an apocalyptic number.

86277045141504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86277045141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149599809374400).

86277045141504 is an abundant number, since it is smaller than the sum of its proper divisors (212922573607296).

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

86277045141504 is a wasteful number, since it uses less digits than its factorization.

86277045141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24633 (or 24594 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 86277045141504 in words is "eighty-six trillion, two hundred seventy-seven billion, forty-five million, one hundred forty-one thousand, five hundred four".