21291582750720 has 576 divisors, whose sum is σ = 72429280430976. Its totient is φ = 5322404003840.

The previous prime is 21291582750701. The next prime is 21291582750727. The reversal of 21291582750720 is 2705728519212.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (21291582750727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9391963027 + ... + 9391965293.

It is an arithmetic number, because the mean of its divisors is an integer number (125745278526).

Almost surely, 2^{21291582750720} is an apocalyptic number.

21291582750720 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 21291582750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36214640215488).

21291582750720 is an abundant number, since it is smaller than the sum of its proper divisors (51137697680256).

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

21291582750720 is an equidigital number, since it uses as much as digits as its factorization.

21291582750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 21291582750720 in words is "twenty-one trillion, two hundred ninety-one billion, five hundred eighty-two million, seven hundred fifty thousand, seven hundred twenty".