86490263943720 has 768 divisors, whose sum is σ = 348414513108480. Its totient is φ = 18119398809600.

The previous prime is 86490263943679. The next prime is 86490263943731. The reversal of 86490263943720 is 2734936209468.

86490263943720 is a `hidden beast` number, since 8 + 6 + 490 + 2 + 6 + 3 + 94 + 37 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3919428127 + ... + 3919450193.

It is an arithmetic number, because the mean of its divisors is an integer number (453664730610).

Almost surely, 2^{86490263943720} 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 86490263943720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174207256554240).

86490263943720 is an abundant number, since it is smaller than the sum of its proper divisors (261924249164760).

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

86490263943720 is a wasteful number, since it uses less digits than its factorization.

86490263943720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22946 (or 22939 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 86490263943720 in words is "eighty-six trillion, four hundred ninety billion, two hundred sixty-three million, nine hundred forty-three thousand, seven hundred twenty".