86038146480 has 1280 divisors, whose sum is σ = 352489439232. Its totient is φ = 17031168000.

The previous prime is 86038146451. The next prime is 86038146487. The reversal of 86038146480 is 8464183068.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86038146487) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1211804845 + ... + 1211804915.

Almost surely, 2^86038146480 is an apocalyptic number.

86038146480 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 86038146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176244719616).

86038146480 is an abundant number, since it is smaller than the sum of its proper divisors (266451292752).

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

86038146480 is a wasteful number, since it uses less digits than its factorization.

86038146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 86038146480 in words is "eighty-six billion, thirty-eight million, one hundred forty-six thousand, four hundred eighty".