21292645920000 has 720 divisors, whose sum is σ = 87156110616960. Its totient is φ = 4492505088000.

The previous prime is 21292645919939. The next prime is 21292645920019. The reversal of 21292645920000 is 2954629212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43436266 + ... + 43923734.

Almost surely, 2^{21292645920000} is an apocalyptic number.

21292645920000 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 21292645920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43578055308480).

21292645920000 is an abundant number, since it is smaller than the sum of its proper divisors (65863464696960).

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

21292645920000 is an equidigital number, since it uses as much as digits as its factorization.

21292645920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487528 (or 487499 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 21292645920000 in words is "twenty-one trillion, two hundred ninety-two billion, six hundred forty-five million, nine hundred twenty thousand".