200156075973000 has 2048 divisors, whose sum is σ = 825896448000000. Its totient is φ = 44812994688000.

The previous prime is 200156075972987. The next prime is 200156075973043. The reversal of 200156075973000 is 379570651002.

200156075973000 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 5 + 607 + 5 + 9 + 7 + 30 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 123476912190 + ... + 123476913810.

It is an arithmetic number, because the mean of its divisors is an integer number (403269750000).

Almost surely, 2^{200156075973000} is an apocalyptic number.

200156075973000 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 200156075973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412948224000000).

200156075973000 is an abundant number, since it is smaller than the sum of its proper divisors (625740372027000).

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

200156075973000 is a wasteful number, since it uses less digits than its factorization.

200156075973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 200156075973000 in words is "two hundred trillion, one hundred fifty-six billion, seventy-five million, nine hundred seventy-three thousand".