868600454400 has 1080 divisors, whose sum is σ = 3733543746240. Its totient is φ = 195124101120.

The previous prime is 868600454389. The next prime is 868600454411. The reversal of 868600454400 is 4454006868.

868600454400 is a `hidden beast` number, since 86 + 86 + 0 + 0 + 454 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (868600454389) and next prime (868600454411).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 214097172 + ... + 214101228.

Almost surely, 2^868600454400 is an apocalyptic number.

868600454400 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 868600454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866771873120).

868600454400 is an abundant number, since it is smaller than the sum of its proper divisors (2864943291840).

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

868600454400 is a wasteful number, since it uses less digits than its factorization.

868600454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 868600454400 in words is "eight hundred sixty-eight billion, six hundred million, four hundred fifty-four thousand, four hundred".