86885926400000 has 1248 divisors, whose sum is σ = 270398319649920. Its totient is φ = 27179089920000.

The previous prime is 86885926399991. The next prime is 86885926400033. The reversal of 86885926400000 is 462958868.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 95 ways as a sum of consecutive naturals, for example, 112985599616 + ... + 112985600384.

Almost surely, 2^{86885926400000} is an apocalyptic number.

86885926400000 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 86885926400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135199159824960).

86885926400000 is an abundant number, since it is smaller than the sum of its proper divisors (183512393249920).

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

86885926400000 is an frugal number, since it uses more digits than its factorization.

86885926400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 86885926400000 in words is "eighty-six trillion, eight hundred eighty-five billion, nine hundred twenty-six million, four hundred thousand".