86029350801408 has 416 divisors, whose sum is σ = 291667528945920. Its totient is φ = 24547177267200.

The previous prime is 86029350801403. The next prime is 86029350801439. The reversal of 86029350801408 is 80410805392068.

86029350801408 is a `hidden beast` number, since 8 + 6 + 0 + 2 + 93 + 508 + 0 + 1 + 40 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (86029350801403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585953608 + ... + 586100408.

Almost surely, 2^{86029350801408} 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 86029350801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145833764472960).

86029350801408 is an abundant number, since it is smaller than the sum of its proper divisors (205638178144512).

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

86029350801408 is a wasteful number, since it uses less digits than its factorization.

86029350801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147598 (or 147570 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 86029350801408 in words is "eighty-six trillion, twenty-nine billion, three hundred fifty million, eight hundred one thousand, four hundred eight".