21267621545760 has 576 divisors, whose sum is σ = 77729353228800. Its totient is φ = 5488289021952.

The previous prime is 21267621545719. The next prime is 21267621545873. The reversal of 21267621545760 is 6754512676212.

21267621545760 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 7 + 6 + 21 + 545 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21267621545697 and 21267621545706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162569656 + ... + 162700424.

It is an arithmetic number, because the mean of its divisors is an integer number (134946793800).

Almost surely, 2^{21267621545760} is an apocalyptic number.

21267621545760 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 21267621545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38864676614400).

21267621545760 is an abundant number, since it is smaller than the sum of its proper divisors (56461731683040).

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

21267621545760 is a wasteful number, since it uses less digits than its factorization.

21267621545760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130935 (or 130915 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 21267621545760 in words is "twenty-one trillion, two hundred sixty-seven billion, six hundred twenty-one million, five hundred forty-five thousand, seven hundred sixty".