21249459103680 has 392 divisors, whose sum is σ = 75896473375152. Its totient is φ = 5664224526336.

The previous prime is 21249459103601. The next prime is 21249459103687. The reversal of 21249459103680 is 8630195494212.

It is a happy number.

21249459103680 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 9 + 459 + 103 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21249459103687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 619807819 + ... + 619842101.

Almost surely, 2^{21249459103680} is an apocalyptic number.

21249459103680 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 21249459103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37948236687576).

21249459103680 is an abundant number, since it is smaller than the sum of its proper divisors (54647014271472).

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

21249459103680 is an equidigital number, since it uses as much as digits as its factorization.

21249459103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36975 (or 36950 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 21249459103680 in words is "twenty-one trillion, two hundred forty-nine billion, four hundred fifty-nine million, one hundred three thousand, six hundred eighty".