86280117687480 has 256 divisors, whose sum is σ = 281443904501760. Its totient is φ = 21076783718400.

The previous prime is 86280117687469. The next prime is 86280117687499. The reversal of 86280117687480 is 8478671108268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14868435 + ... + 19840125.

It is an arithmetic number, because the mean of its divisors is an integer number (1099390251960).

Almost surely, 2^{86280117687480} 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 86280117687480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140721952250880).

86280117687480 is an abundant number, since it is smaller than the sum of its proper divisors (195163786814280).

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

86280117687480 is a wasteful number, since it uses less digits than its factorization.

86280117687480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971950 (or 4971946 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 86280117687480 in words is "eighty-six trillion, two hundred eighty billion, one hundred seventeen million, six hundred eighty-seven thousand, four hundred eighty".