21549037461120 has 1920 divisors, whose sum is σ = 86714138150640. Its totient is φ = 5069070139392.

The previous prime is 21549037461097. The next prime is 21549037461199. The reversal of 21549037461120 is 2116473094512.

21549037461120 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 9 + 0 + 3 + 7 + 4 + 611 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 67147320384 + 21481890140736 = 259128^2 + 4634856^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×21549037461120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 109385976862 + ... + 109385977058.

Almost surely, 2^{21549037461120} is an apocalyptic number.

21549037461120 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 21549037461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43357069075320).

21549037461120 is an abundant number, since it is smaller than the sum of its proper divisors (65165100689520).

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

21549037461120 is a wasteful number, since it uses less digits than its factorization.

21549037461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21549037461120 in words is "twenty-one trillion, five hundred forty-nine billion, thirty-seven million, four hundred sixty-one thousand, one hundred twenty".