21018002904000 has 1792 divisors, whose sum is σ = 83792207116800. Its totient is φ = 5138546688000.

The previous prime is 21018002903981. The next prime is 21018002904007. The reversal of 21018002904000 is 40920081012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21018002904007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23856983560 + ... + 23856984440.

It is an arithmetic number, because the mean of its divisors is an integer number (46759044150).

Almost surely, 2^{21018002904000} is an apocalyptic number.

21018002904000 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 21018002904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41896103558400).

21018002904000 is an abundant number, since it is smaller than the sum of its proper divisors (62774204212800).

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

21018002904000 is a wasteful number, since it uses less digits than its factorization.

21018002904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 21018002904000 its reverse (40920081012), we get a palindrome (21058922985012).

The spelling of 21018002904000 in words is "twenty-one trillion, eighteen billion, two million, nine hundred four thousand".