86489700480 has 960 divisors, whose sum is σ = 343737535680. Its totient is φ = 20680704000.

The previous prime is 86489700467. The next prime is 86489700511. The reversal of 86489700480 is 8400798468.

86489700480 is a `hidden beast` number, since 86 + 4 + 89 + 7 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×86489700480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 344580355 + ... + 344580605.

It is an arithmetic number, because the mean of its divisors is an integer number (358059933).

Almost surely, 2^86489700480 is an apocalyptic number.

86489700480 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 86489700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171868767840).

86489700480 is an abundant number, since it is smaller than the sum of its proper divisors (257247835200).

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

86489700480 is a wasteful number, since it uses less digits than its factorization.

86489700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 86489700480 in words is "eighty-six billion, four hundred eighty-nine million, seven hundred thousand, four hundred eighty".