20537532288 has 768 divisors, whose sum is σ = 80093664000. Its totient is φ = 5120962560.

The previous prime is 20537532287. The next prime is 20537532299. The reversal of 20537532288 is 88223573502.

20537532288 is a `hidden beast` number, since 2 + 0 + 5 + 37 + 532 + 2 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20537532283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41827723 + ... + 41828213.

It is an arithmetic number, because the mean of its divisors is an integer number (104288625).

Almost surely, 2^20537532288 is an apocalyptic number.

20537532288 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 20537532288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40046832000).

20537532288 is an abundant number, since it is smaller than the sum of its proper divisors (59556131712).

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

20537532288 is a wasteful number, since it uses less digits than its factorization.

20537532288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 20537532288 in words is "twenty billion, five hundred thirty-seven million, five hundred thirty-two thousand, two hundred eighty-eight".