86451425760 has 384 divisors, whose sum is σ = 335605939200. Its totient is φ = 18263162880.

The previous prime is 86451425737. The next prime is 86451425807. The reversal of 86451425760 is 6752415468.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2600926 + ... + 2633954.

It is an arithmetic number, because the mean of its divisors is an integer number (873973800).

Almost surely, 2^86451425760 is an apocalyptic number.

86451425760 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 86451425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167802969600).

86451425760 is an abundant number, since it is smaller than the sum of its proper divisors (249154513440).

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

86451425760 is a wasteful number, since it uses less digits than its factorization.

86451425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33114 (or 33106 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 86451425760 in words is "eighty-six billion, four hundred fifty-one million, four hundred twenty-five thousand, seven hundred sixty".