200406528000 has 1664 divisors, whose sum is σ = 899568384000. Its totient is φ = 42998169600.

The previous prime is 200406527987. The next prime is 200406528011. The reversal of 200406528000 is 825604002.

200406528000 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 0 + 652 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1838591946 + ... + 1838592054.

It is an arithmetic number, because the mean of its divisors is an integer number (540606000).

Almost surely, 2^200406528000 is an apocalyptic number.

200406528000 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 200406528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449784192000).

200406528000 is an abundant number, since it is smaller than the sum of its proper divisors (699161856000).

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

200406528000 is a wasteful number, since it uses less digits than its factorization.

200406528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 200406528000 in words is "two hundred billion, four hundred six million, five hundred twenty-eight thousand".