86858956800000 has 4560 divisors, whose sum is σ = 428184001719936. Its totient is φ = 16986931200000.

The previous prime is 86858956799999. The next prime is 86858956800019. The reversal of 86858956800000 is 865985868.

86858956800000 is a `hidden beast` number, since 8 + 68 + 5 + 8 + 9 + 568 + 0 + 0 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5109350399992 + ... + 5109350400008.

Almost surely, 2^{86858956800000} is an apocalyptic number.

86858956800000 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 86858956800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214092000859968).

86858956800000 is an abundant number, since it is smaller than the sum of its proper divisors (341325044919936).

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

86858956800000 is an frugal number, since it uses more digits than its factorization.

86858956800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 86858956800000 in words is "eighty-six trillion, eight hundred fifty-eight billion, nine hundred fifty-six million, eight hundred thousand".