201080151972 has 240 divisors, whose sum is σ = 617372743680. Its totient is φ = 55874121408.

The previous prime is 201080151953. The next prime is 201080151977. The reversal of 201080151972 is 279151080102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201080151977) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23303923 + ... + 23312549.

It is an arithmetic number, because the mean of its divisors is an integer number (2572386432).

Almost surely, 2^201080151972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201080151972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308686371840).

201080151972 is an abundant number, since it is smaller than the sum of its proper divisors (416292591708).

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

201080151972 is a wasteful number, since it uses less digits than its factorization.

201080151972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8932 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 201080151972 in words is "two hundred one billion, eighty million, one hundred fifty-one thousand, nine hundred seventy-two".