21249789513120 has 288 divisors, whose sum is σ = 82983686018688. Its totient is φ = 4850676762624.

The previous prime is 21249789513101. The next prime is 21249789513133. The reversal of 21249789513120 is 2131598794212.

21249789513120 is a `hidden beast` number, since 2 + 1 + 2 + 49 + 7 + 89 + 513 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6238147 + ... + 9022973.

It is an arithmetic number, because the mean of its divisors is an integer number (288137798676).

Almost surely, 2^{21249789513120} is an apocalyptic number.

21249789513120 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 21249789513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41491843009344).

21249789513120 is an abundant number, since it is smaller than the sum of its proper divisors (61733896505568).

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

21249789513120 is a wasteful number, since it uses less digits than its factorization.

21249789513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785612 (or 2785601 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 21249789513120 in words is "twenty-one trillion, two hundred forty-nine billion, seven hundred eighty-nine million, five hundred thirteen thousand, one hundred twenty".