21142743552 has 480 divisors, whose sum is σ = 74286495360. Its totient is φ = 5812715520.

The previous prime is 21142743547. The next prime is 21142743577. The reversal of 21142743552 is 25534724112.

21142743552 is a `hidden beast` number, since 21 + 1 + 42 + 7 + 43 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289626588 + ... + 289626660.

It is an arithmetic number, because the mean of its divisors is an integer number (154763532).

Almost surely, 2^21142743552 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 21142743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37143247680).

21142743552 is an abundant number, since it is smaller than the sum of its proper divisors (53143751808).

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

21142743552 is an frugal number, since it uses more digits than its factorization.

21142743552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 126 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 21142743552 in words is "twenty-one billion, one hundred forty-two million, seven hundred forty-three thousand, five hundred fifty-two".