21375657443700 has 432 divisors, whose sum is σ = 80665882053120. Its totient is φ = 4625072835840.

The previous prime is 21375657443633. The next prime is 21375657443743. The reversal of 21375657443700 is 734475657312.

21375657443700 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 565 + 7 + 4 + 4 + 3 + 70 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153505507 + ... + 153644693.

Almost surely, 2^{21375657443700} is an apocalyptic number.

21375657443700 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 21375657443700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40332941026560).

21375657443700 is an abundant number, since it is smaller than the sum of its proper divisors (59290224609420).

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

21375657443700 is a wasteful number, since it uses less digits than its factorization.

21375657443700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140516 (or 140506 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 21375657443700 in words is "twenty-one trillion, three hundred seventy-five billion, six hundred fifty-seven million, four hundred forty-three thousand, seven hundred".