200873027148000 has 1536 divisors, whose sum is σ = 709240188174336. Its totient is φ = 49585536000000.

The previous prime is 200873027147993. The next prime is 200873027148011. The reversal of 200873027148000 is 841720378002.

200873027148000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200873027148000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 466062707785 + ... + 466062708215.

It is an arithmetic number, because the mean of its divisors is an integer number (461744914176).

Almost surely, 2^{200873027148000} is an apocalyptic number.

200873027148000 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 200873027148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354620094087168).

200873027148000 is an abundant number, since it is smaller than the sum of its proper divisors (508367161026336).

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

200873027148000 is a wasteful number, since it uses less digits than its factorization.

200873027148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 200873027148000 in words is "two hundred trillion, eight hundred seventy-three billion, twenty-seven million, one hundred forty-eight thousand".