86525399375424 has 336 divisors, whose sum is σ = 268554354432000. Its totient is φ = 27569614533120.

The previous prime is 86525399375419. The next prime is 86525399375431. The reversal of 86525399375424 is 42457399352568.

86525399375424 is a `hidden beast` number, since 8 + 6 + 5 + 2 + 539 + 9 + 37 + 54 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547553577 + ... + 547711575.

It is an arithmetic number, because the mean of its divisors is an integer number (799268912000).

Almost surely, 2^{86525399375424} 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 86525399375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277177216000).

86525399375424 is an abundant number, since it is smaller than the sum of its proper divisors (182028955056576).

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

86525399375424 is a wasteful number, since it uses less digits than its factorization.

86525399375424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159580 (or 159558 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 86525399375424 in words is "eighty-six trillion, five hundred twenty-five billion, three hundred ninety-nine million, three hundred seventy-five thousand, four hundred twenty-four".