86058251951616 has 480 divisors, whose sum is σ = 301871434824960. Its totient is φ = 23053803061248.

The previous prime is 86058251951579. The next prime is 86058251951653. The reversal of 86058251951616 is 61615915285068.

86058251951616 is a `hidden beast` number, since 8 + 6 + 0 + 5 + 8 + 2 + 5 + 1 + 9 + 5 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (86058251951579) and next prime (86058251951653).

It is a super-2 number, since 2×86058251951616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 58723995 + ... + 60171621.

It is an arithmetic number, because the mean of its divisors is an integer number (628898822552).

Almost surely, 2^{86058251951616} 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 86058251951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150935717412480).

86058251951616 is an abundant number, since it is smaller than the sum of its proper divisors (215813182873344).

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

86058251951616 is a wasteful number, since it uses less digits than its factorization.

86058251951616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447774 (or 1447755 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 86058251951616 in words is "eighty-six trillion, fifty-eight billion, two hundred fifty-one million, nine hundred fifty-one thousand, six hundred sixteen".