200154577680 has 240 divisors, whose sum is σ = 696998055936. Its totient is φ = 51419888640.

The previous prime is 200154577673. The next prime is 200154577691. The reversal of 200154577680 is 86775451002.

200154577680 is a `hidden beast` number, since 2 + 0 + 0 + 15 + 4 + 577 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4957254 + ... + 4997466.

Almost surely, 2^200154577680 is an apocalyptic number.

200154577680 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 200154577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348499027968).

200154577680 is an abundant number, since it is smaller than the sum of its proper divisors (496843478256).

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

200154577680 is a wasteful number, since it uses less digits than its factorization.

200154577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40486 (or 40477 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 200154577680 in words is "two hundred billion, one hundred fifty-four million, five hundred seventy-seven thousand, six hundred eighty".