21392242560 has 448 divisors, whose sum is σ = 82597747680. Its totient is φ = 5264289792.

The previous prime is 21392242541. The next prime is 21392242567. The reversal of 21392242560 is 6524229312.

21392242560 is a `hidden beast` number, since 2 + 1 + 3 + 92 + 2 + 4 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21392242567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6063517 + ... + 6067043.

Almost surely, 2^21392242560 is an apocalyptic number.

21392242560 is a gapful number since it is divisible by the number (20) 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 21392242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41298873840).

21392242560 is an abundant number, since it is smaller than the sum of its proper divisors (61205505120).

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

21392242560 is an equidigital number, since it uses as much as digits as its factorization.

21392242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21392242560 in words is "twenty-one billion, three hundred ninety-two million, two hundred forty-two thousand, five hundred sixty".