21545570105532 has 288 divisors, whose sum is σ = 63523101567744. Its totient is φ = 6084914227200.

The previous prime is 21545570105503. The next prime is 21545570105537. The reversal of 21545570105532 is 23550107554512.

21545570105532 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 5 + 5 + 7 + 0 + 105 + 532 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21545570105537) 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, 2291345943 + ... + 2291355345.

It is an arithmetic number, because the mean of its divisors is an integer number (220566324888).

Almost surely, 2^{21545570105532} is an apocalyptic number.

21545570105532 is a gapful number since it is divisible by the number (22) 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 21545570105532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31761550783872).

21545570105532 is an abundant number, since it is smaller than the sum of its proper divisors (41977531462212).

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

21545570105532 is a wasteful number, since it uses less digits than its factorization.

21545570105532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12729 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 21545570105532 in words is "twenty-one trillion, five hundred forty-five billion, five hundred seventy million, one hundred five thousand, five hundred thirty-two".