21024048057120 has 384 divisors, whose sum is σ = 73925078976000. Its totient is φ = 5580477296640.

The previous prime is 21024048057083. The next prime is 21024048057137. The reversal of 21024048057120 is 2175084042012.

21024048057120 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 4 + 0 + 4 + 80 + 571 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1372408821 + ... + 1372424139.

It is an arithmetic number, because the mean of its divisors is an integer number (192513226500).

Almost surely, 2^{21024048057120} is an apocalyptic number.

21024048057120 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 21024048057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36962539488000).

21024048057120 is an abundant number, since it is smaller than the sum of its proper divisors (52901030918880).

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

21024048057120 is a wasteful number, since it uses less digits than its factorization.

21024048057120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16793 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 21024048057120 in words is "twenty-one trillion, twenty-four billion, forty-eight million, fifty-seven thousand, one hundred twenty".