201522788425728 has 4032 divisors, whose sum is σ = 813090984675840. Its totient is φ = 47414771712000.

The previous prime is 201522788425703. The next prime is 201522788425757. The reversal of 201522788425728 is 827524887225102.

201522788425728 is a `hidden beast` number, since 2 + 0 + 1 + 52 + 2 + 7 + 8 + 8 + 4 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×201522788425728² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1995275132878 + ... + 1995275132978.

Almost surely, 2^{201522788425728} is an apocalyptic number.

201522788425728 is a gapful number since it is divisible by the number (28) 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 201522788425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406545492337920).

201522788425728 is an abundant number, since it is smaller than the sum of its proper divisors (611568196250112).

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

201522788425728 is a wasteful number, since it uses less digits than its factorization.

201522788425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 80281600, while the sum is 63.

The spelling of 201522788425728 in words is "two hundred one trillion, five hundred twenty-two billion, seven hundred eighty-eight million, four hundred twenty-five thousand, seven hundred twenty-eight".