868828615200 has 2592 divisors, whose sum is σ = 4184617417344. Its totient is φ = 170917724160.

The previous prime is 868828615069. The next prime is 868828615223. The reversal of 868828615200 is 2516828868.

It is a happy number.

868828615200 is a `hidden beast` number, since 86 + 88 + 286 + 1 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8119893547 + ... + 8119893653.

It is an arithmetic number, because the mean of its divisors is an integer number (1614435732).

Almost surely, 2^868828615200 is an apocalyptic number.

868828615200 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 868828615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092308708672).

868828615200 is an abundant number, since it is smaller than the sum of its proper divisors (3315788802144).

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

868828615200 is a wasteful number, since it uses less digits than its factorization.

868828615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 868828615200 in words is "eight hundred sixty-eight billion, eight hundred twenty-eight million, six hundred fifteen thousand, two hundred".