368825886000 has 2240 divisors, whose sum is σ = 1651690535040. Its totient is φ = 78382080000.

The previous prime is 368825885999. The next prime is 368825886083. The reversal of 368825886000 is 688528863.

368825886000 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 25 + 8 + 8 + 600 + 0 = 666.

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 447 ways as a sum of consecutive naturals, for example, 6046325970 + ... + 6046326030.

It is an arithmetic number, because the mean of its divisors is an integer number (737361846).

Almost surely, 2^368825886000 is an apocalyptic number.

368825886000 is a gapful number since it is divisible by the number (30) 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 368825886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825845267520).

368825886000 is an abundant number, since it is smaller than the sum of its proper divisors (1282864649040).

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

368825886000 is a wasteful number, since it uses less digits than its factorization.

368825886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 368825886000 in words is "three hundred sixty-eight billion, eight hundred twenty-five million, eight hundred eighty-six thousand".