868953485214720 has 880 divisors, whose sum is σ = 3125781660089088. Its totient is φ = 230833603215360.

The previous prime is 868953485214697. The next prime is 868953485214767. The reversal of 868953485214720 is 27412584359868.

868953485214720 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 5 + 34 + 8 + 521 + 47 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166052641224 + ... + 166052646456.

It is a 1-persistent number, because it is pandigital, but 2⋅868953485214720 = 1737906970429440 is not.

Almost surely, 2^{868953485214720} is an apocalyptic number.

868953485214720 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 868953485214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562890830044544).

868953485214720 is an abundant number, since it is smaller than the sum of its proper divisors (2256828174874368).

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

868953485214720 is a wasteful number, since it uses less digits than its factorization.

868953485214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 868953485214720 in words is "eight hundred sixty-eight trillion, nine hundred fifty-three billion, four hundred eighty-five million, two hundred fourteen thousand, seven hundred twenty".