201955749504 has 128 divisors (see below), whose sum is σ = 542962483200. Its totient is φ = 66505227264.

The previous prime is 201955749431. The next prime is 201955749511. The reversal of 201955749504 is 405947559102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201955749504² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11646889 + ... + 11664215.

It is an arithmetic number, because the mean of its divisors is an integer number (4241894400).

Almost surely, 2^201955749504 is an apocalyptic number.

201955749504 is a gapful number since it is divisible by the number (24) 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 201955749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271481241600).

201955749504 is an abundant number, since it is smaller than the sum of its proper divisors (341006733696).

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

201955749504 is a wasteful number, since it uses less digits than its factorization.

201955749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 201955749504 in words is "two hundred one billion, nine hundred fifty-five million, seven hundred forty-nine thousand, five hundred four".