86468477000 has 256 divisors, whose sum is σ = 224633710080. Its totient is φ = 30987264000.

The previous prime is 86468476999. The next prime is 86468477003. The reversal of 86468477000 is 77486468.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 86468477000.

It is not an unprimeable number, because it can be changed into a prime (86468477003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109870607 + ... + 109871393.

It is an arithmetic number, because the mean of its divisors is an integer number (877475430).

Almost surely, 2^86468477000 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 86468477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112316855040).

86468477000 is an abundant number, since it is smaller than the sum of its proper divisors (138165233080).

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

86468477000 is a wasteful number, since it uses less digits than its factorization.

86468477000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 86468477000 in words is "eighty-six billion, four hundred sixty-eight million, four hundred seventy-seven thousand".