201052862022432 has 1536 divisors, whose sum is σ = 725432629985280. Its totient is φ = 47325139107840.

The previous prime is 201052862022421. The next prime is 201052862022443. The reversal of 201052862022432 is 234220268250102.

It is an interprime number because it is at equal distance from previous prime (201052862022421) and next prime (201052862022443).

It is a super-2 number, since 2×201052862022432² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 132011070823 + ... + 132011072345.

It is an arithmetic number, because the mean of its divisors is an integer number (472286868480).

Almost surely, 2^{201052862022432} 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 201052862022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362716314992640).

201052862022432 is an abundant number, since it is smaller than the sum of its proper divisors (524379767962848).

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

201052862022432 is a wasteful number, since it uses less digits than its factorization.

201052862022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 201052862022432 in words is "two hundred one trillion, fifty-two billion, eight hundred sixty-two million, twenty-two thousand, four hundred thirty-two".