21546230734080 has 864 divisors, whose sum is σ = 83139712280352. Its totient is φ = 5118197760000.

The previous prime is 21546230734051. The next prime is 21546230734087. The reversal of 21546230734080 is 8043703264512.

21546230734080 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 6 + 230 + 7 + 3 + 408 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10918213449984 + 10628017284096 = 3304272^2 + 3260064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21546230734087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484151830 + ... + 484196330.

It is an arithmetic number, because the mean of its divisors is an integer number (96226518843).

Almost surely, 2^{21546230734080} is an apocalyptic number.

21546230734080 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 21546230734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41569856140176).

21546230734080 is an abundant number, since it is smaller than the sum of its proper divisors (61593481546272).

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

21546230734080 is a wasteful number, since it uses less digits than its factorization.

21546230734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44655 (or 44638 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 21546230734080 its reverse (8043703264512), we get a palindrome (29589933998592).

The spelling of 21546230734080 in words is "twenty-one trillion, five hundred forty-six billion, two hundred thirty million, seven hundred thirty-four thousand, eighty".