201167149920 has 192 divisors, whose sum is σ = 731947539456. Its totient is φ = 45899079680.

The previous prime is 201167149877. The next prime is 201167149979. The reversal of 201167149920 is 29941761102.

It is a congruent number.

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, 1030824 + ... + 1210343.

It is an arithmetic number, because the mean of its divisors is an integer number (3812226768).

Almost surely, 2^201167149920 is an apocalyptic number.

201167149920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201167149920 is an abundant number, since it is smaller than the sum of its proper divisors (530780389536).

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

201167149920 is a wasteful number, since it uses less digits than its factorization.

201167149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241213 (or 2241205 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 201167149920 in words is "two hundred one billion, one hundred sixty-seven million, one hundred forty-nine thousand, nine hundred twenty".