86197400640 has 560 divisors, whose sum is σ = 341630538480. Its totient is φ = 20483850240.

The previous prime is 86197400621. The next prime is 86197400647. The reversal of 86197400640 is 4600479168.

It can be written as a sum of positive squares in 8 ways, for example, as 2962842624 + 83234558016 = 54432^2 + 288504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86197400647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9767430 + ... + 9776250.

It is an arithmetic number, because the mean of its divisors is an integer number (610054533).

Almost surely, 2^86197400640 is an apocalyptic number.

86197400640 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 86197400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170815269240).

86197400640 is an abundant number, since it is smaller than the sum of its proper divisors (255433137840).

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

86197400640 is a wasteful number, since it uses less digits than its factorization.

86197400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 86197400640 in words is "eighty-six billion, one hundred ninety-seven million, four hundred thousand, six hundred forty".