201955834872 has 160 divisors (see below), whose sum is σ = 620322278400. Its totient is φ = 60877915200.

The previous prime is 201955834849. The next prime is 201955834877. The reversal of 201955834872 is 278438559102.

201955834872 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 558 + 3 + 4 + 87 + 2 = 666.

201955834872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201955834877) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1287279 + ... + 1435617.

It is an arithmetic number, because the mean of its divisors is an integer number (3877014240).

Almost surely, 2^201955834872 is an apocalyptic number.

201955834872 is a gapful number since it is divisible by the number (22) 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 201955834872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310161139200).

201955834872 is an abundant number, since it is smaller than the sum of its proper divisors (418366443528).

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

201955834872 is a wasteful number, since it uses less digits than its factorization.

201955834872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148559 (or 148546 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 201955834872 in words is "two hundred one billion, nine hundred fifty-five million, eight hundred thirty-four thousand, eight hundred seventy-two".