10198628352000 has 2400 divisors, whose sum is σ = 43463927130624. Its totient is φ = 2364899328000.

The previous prime is 10198628351939. The next prime is 10198628352001. The reversal of 10198628352000 is 25382689101.

10198628352000 is a `hidden beast` number, since 1 + 0 + 19 + 8 + 628 + 3 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (10198628352001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 443418623989 + ... + 443418624011.

Almost surely, 2^{10198628352000} is an apocalyptic number.

10198628352000 is a gapful number since it is divisible by the number (10) 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 10198628352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21731963565312).

10198628352000 is an abundant number, since it is smaller than the sum of its proper divisors (33265298778624).

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

10198628352000 is an frugal number, since it uses more digits than its factorization.

10198628352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10198628352000 in words is "ten trillion, one hundred ninety-eight billion, six hundred twenty-eight million, three hundred fifty-two thousand".