201057432576 has 704 divisors, whose sum is σ = 725956202496. Its totient is φ = 47775744000.

The previous prime is 201057432557. The next prime is 201057432577. The reversal of 201057432576 is 675234750102.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201057432577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464335656 + ... + 464336088.

Almost surely, 2^201057432576 is an apocalyptic number.

201057432576 is a gapful number since it is divisible by the number (26) 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 201057432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362978101248).

201057432576 is an abundant number, since it is smaller than the sum of its proper divisors (524898769920).

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

201057432576 is a wasteful number, since it uses less digits than its factorization.

201057432576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 201057432576 in words is "two hundred one billion, fifty-seven million, four hundred thirty-two thousand, five hundred seventy-six".