201901023055872 has 260 divisors, whose sum is σ = 689299242048736. Its totient is φ = 57686005923840.

The previous prime is 201901023055871. The next prime is 201901023055939. The reversal of 201901023055872 is 278550320109102.

201901023055872 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 0 + 1 + 0 + 23 + 0 + 558 + 72 = 666.

It is a super-2 number, since 2×201901023055872² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201901023055871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41145154 + ... + 45790017.

Almost surely, 2^{201901023055872} is an apocalyptic number.

It is an amenable number.

201901023055872 is an abundant number, since it is smaller than the sum of its proper divisors (487398218992864).

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

201901023055872 is an frugal number, since it uses more digits than its factorization.

201901023055872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86935214 (or 86935183 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 201901023055872 in words is "two hundred one trillion, nine hundred one billion, twenty-three million, fifty-five thousand, eight hundred seventy-two".