86574084772 has 96 divisors (see below), whose sum is σ = 186630635520. Its totient is φ = 34343084160.

The previous prime is 86574084769. The next prime is 86574084799. The reversal of 86574084772 is 27748047568.

It is a super-4 number, since 4×86574084772⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2677333 + ... + 2709475.

It is an arithmetic number, because the mean of its divisors is an integer number (1944069120).

Almost surely, 2^86574084772 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 86574084772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93315317760).

86574084772 is an abundant number, since it is smaller than the sum of its proper divisors (100056550748).

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

86574084772 is a wasteful number, since it uses less digits than its factorization.

86574084772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32321 (or 32319 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 58.

The spelling of 86574084772 in words is "eighty-six billion, five hundred seventy-four million, eighty-four thousand, seven hundred seventy-two".