86277480480 has 576 divisors, whose sum is σ = 312573800448. Its totient is φ = 22469529600.

The previous prime is 86277480397. The next prime is 86277480491. The reversal of 86277480480 is 8408477268.

It is a happy number.

86277480480 is a `hidden beast` number, since 8 + 627 + 7 + 4 + 8 + 0 + 4 + 8 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 498713674 + ... + 498713846.

It is an arithmetic number, because the mean of its divisors is an integer number (542662848).

Almost surely, 2^86277480480 is an apocalyptic number.

86277480480 is a gapful number since it is divisible by the number (80) 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 86277480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156286900224).

86277480480 is an abundant number, since it is smaller than the sum of its proper divisors (226296319968).

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

86277480480 is a wasteful number, since it uses less digits than its factorization.

86277480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 86277480480 in words is "eighty-six billion, two hundred seventy-seven million, four hundred eighty thousand, four hundred eighty".