200582021125152 has 192 divisors, whose sum is σ = 610715427840000. Its totient is φ = 63927664314624.

The previous prime is 200582021125141. The next prime is 200582021125169. The reversal of 200582021125152 is 251521120285002.

200582021125152 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 8 + 20 + 2 + 112 + 515 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46812849 + ... + 50917647.

It is an arithmetic number, because the mean of its divisors is an integer number (3180809520000).

Almost surely, 2^{200582021125152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200582021125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305357713920000).

200582021125152 is an abundant number, since it is smaller than the sum of its proper divisors (410133406714848).

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

200582021125152 is a wasteful number, since it uses less digits than its factorization.

200582021125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107300 (or 4107286 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 200582021125152 in words is "two hundred trillion, five hundred eighty-two billion, twenty-one million, one hundred twenty-five thousand, one hundred fifty-two".