86303787878480 has 80 divisors (see below), whose sum is σ = 203327972129280. Its totient is φ = 34062440315904.

The previous prime is 86303787878417. The next prime is 86303787878527. The reversal of 86303787878480 is 8487878730368.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×86303787878480² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5326724 + ... + 14176796.

It is an arithmetic number, because the mean of its divisors is an integer number (2541599651616).

Almost surely, 2^{86303787878480} is an apocalyptic number.

86303787878480 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 86303787878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101663986064640).

86303787878480 is an abundant number, since it is smaller than the sum of its proper divisors (117024184250800).

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

86303787878480 is a wasteful number, since it uses less digits than its factorization.

86303787878480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851708 (or 8851702 counting only the distinct ones).

The product of its (nonzero) digits is 2427715584, while the sum is 77.

The spelling of 86303787878480 in words is "eighty-six trillion, three hundred three billion, seven hundred eighty-seven million, eight hundred seventy-eight thousand, four hundred eighty".