866054052864000 has 12544 divisors, whose sum is σ = 4655422973859840. Its totient is φ = 154793410560000.

The previous prime is 866054052863969. The next prime is 866054052864023. The reversal of 866054052864000 is 468250450668.

866054052864000 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 54 + 0 + 528 + 64 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 14197607423970 + ... + 14197607424030.

Almost surely, 2^{866054052864000} is an apocalyptic number.

866054052864000 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 866054052864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327711486929920).

866054052864000 is an abundant number, since it is smaller than the sum of its proper divisors (3789368920995840).

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

866054052864000 is a wasteful number, since it uses less digits than its factorization.

866054052864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 866054052864000 in words is "eight hundred sixty-six trillion, fifty-four billion, fifty-two million, eight hundred sixty-four thousand".