201164764920 has 128 divisors (see below), whose sum is σ = 689822784000. Its totient is φ = 45972850176.

The previous prime is 201164764909. The next prime is 201164764937. The reversal of 201164764920 is 29467461102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6156867 + ... + 6189453.

It is an arithmetic number, because the mean of its divisors is an integer number (5389240500).

Almost surely, 2^201164764920 is an apocalyptic number.

201164764920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201164764920 is an abundant number, since it is smaller than the sum of its proper divisors (488658019080).

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

201164764920 is a wasteful number, since it uses less digits than its factorization.

201164764920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39957 (or 39953 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 201164764920 in words is "two hundred one billion, one hundred sixty-four million, seven hundred sixty-four thousand, nine hundred twenty".