86195429640 has 256 divisors, whose sum is σ = 304657632000. Its totient is φ = 21616035840.

The previous prime is 86195429501. The next prime is 86195429657. The reversal of 86195429640 is 4692459168.

86195429640 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 542 + 96 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2795910 + ... + 2826570.

It is an arithmetic number, because the mean of its divisors is an integer number (1190068875).

Almost surely, 2^86195429640 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 86195429640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152328816000).

86195429640 is an abundant number, since it is smaller than the sum of its proper divisors (218462202360).

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

86195429640 is a wasteful number, since it uses less digits than its factorization.

86195429640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30837 (or 30827 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 86195429640 in words is "eighty-six billion, one hundred ninety-five million, four hundred twenty-nine thousand, six hundred forty".