86475854080 has 648 divisors, whose sum is σ = 272108628288. Its totient is φ = 25769779200.

The previous prime is 86475854057. The next prime is 86475854119. The reversal of 86475854080 is 8045857468.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1041877719 + ... + 1041877801.

Almost surely, 2^86475854080 is an apocalyptic number.

86475854080 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 86475854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136054314144).

86475854080 is an abundant number, since it is smaller than the sum of its proper divisors (185632774208).

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

86475854080 is a wasteful number, since it uses less digits than its factorization.

86475854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

The spelling of 86475854080 in words is "eighty-six billion, four hundred seventy-five million, eight hundred fifty-four thousand, eighty".