86787514872480 has 192 divisors, whose sum is σ = 280620838447488. Its totient is φ = 22533808926720.

The previous prime is 86787514872463. The next prime is 86787514872493. The reversal of 86787514872480 is 8427841578768.

It is a super-2 number, since 2×86787514872480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89331 + ... + 13175090.

It is an arithmetic number, because the mean of its divisors is an integer number (1461566866914).

Almost surely, 2^{86787514872480} is an apocalyptic number.

86787514872480 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 86787514872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140310419223744).

86787514872480 is an abundant number, since it is smaller than the sum of its proper divisors (193833323575008).

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

86787514872480 is a wasteful number, since it uses less digits than its factorization.

86787514872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13264799 (or 13264791 counting only the distinct ones).

The product of its (nonzero) digits is 1348730880, while the sum is 75.

The spelling of 86787514872480 in words is "eighty-six trillion, seven hundred eighty-seven billion, five hundred fourteen million, eight hundred seventy-two thousand, four hundred eighty".