21028700952000 has 2688 divisors, whose sum is σ = 93341920788480. Its totient is φ = 4585351680000.

The previous prime is 21028700951981. The next prime is 21028700952139. The reversal of 21028700952000 is 25900782012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33325991685 + ... + 33325992315.

It is an arithmetic number, because the mean of its divisors is an integer number (34725416960).

Almost surely, 2^{21028700952000} is an apocalyptic number.

21028700952000 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 21028700952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46670960394240).

21028700952000 is an abundant number, since it is smaller than the sum of its proper divisors (72313219836480).

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

21028700952000 is an equidigital number, since it uses as much as digits as its factorization.

21028700952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21028700952000 in words is "twenty-one trillion, twenty-eight billion, seven hundred million, nine hundred fifty-two thousand".