204150489088000 has 1728 divisors, whose sum is σ = 659983095023616. Its totient is φ = 62426972160000.

The previous prime is 204150489087977. The next prime is 204150489088003. The reversal of 204150489088000 is 880984051402.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (204150489088003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323534847685 + ... + 323534848315.

It is an arithmetic number, because the mean of its divisors is an integer number (381934661472).

Almost surely, 2^{204150489088000} is an apocalyptic number.

204150489088000 is a gapful number since it is divisible by the number (20) 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 204150489088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329991547511808).

204150489088000 is an abundant number, since it is smaller than the sum of its proper divisors (455832605935616).

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

204150489088000 is an frugal number, since it uses more digits than its factorization.

204150489088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 204150489088000 in words is "two hundred four trillion, one hundred fifty billion, four hundred eighty-nine million, eighty-eight thousand".