398252160000 has 880 divisors, whose sum is σ = 1552664238400. Its totient is φ = 100528128000.

The previous prime is 398252159989. The next prime is 398252160029. The reversal of 398252160000 is 61252893.

398252160000 is a `hidden beast` number, since 3 + 9 + 8 + 25 + 21 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 328319394 + ... + 328320606.

It is an arithmetic number, because the mean of its divisors is an integer number (1764391180).

Almost surely, 2^398252160000 is an apocalyptic number.

398252160000 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 398252160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776332119200).

398252160000 is an abundant number, since it is smaller than the sum of its proper divisors (1154412078400).

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

398252160000 is a wasteful number, since it uses less digits than its factorization.

398252160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 398252160000 in words is "three hundred ninety-eight billion, two hundred fifty-two million, one hundred sixty thousand".