86437260480 has 224 divisors, whose sum is σ = 286661620224. Its totient is φ = 22025355264.

The previous prime is 86437260473. The next prime is 86437260487. The reversal of 86437260480 is 8406273468.

It is an interprime number because it is at equal distance from previous prime (86437260473) and next prime (86437260487).

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 (86437260487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39235059 + ... + 39237261.

It is an arithmetic number, because the mean of its divisors is an integer number (1279739376).

Almost surely, 2^86437260480 is an apocalyptic number.

86437260480 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 86437260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143330810112).

86437260480 is an abundant number, since it is smaller than the sum of its proper divisors (200224359744).

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

86437260480 is a wasteful number, since it uses less digits than its factorization.

86437260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 86437260480 in words is "eighty-six billion, four hundred thirty-seven million, two hundred sixty thousand, four hundred eighty".