21007185024 has 128 divisors (see below), whose sum is σ = 64368691200. Its totient is φ = 5945877504.

The previous prime is 21007184969. The next prime is 21007185053. The reversal of 21007185024 is 42058170012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 21007184982 and 21007185000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251097 + ... + 324135.

It is an arithmetic number, because the mean of its divisors is an integer number (502880400).

Almost surely, 2^21007185024 is an apocalyptic number.

21007185024 is a gapful number since it is divisible by the number (24) 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 21007185024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32184345600).

21007185024 is an abundant number, since it is smaller than the sum of its proper divisors (43361506176).

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

21007185024 is a wasteful number, since it uses less digits than its factorization.

21007185024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73170 (or 73158 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 21007185024 in words is "twenty-one billion, seven million, one hundred eighty-five thousand, twenty-four".