21837851900928 has 1056 divisors, whose sum is σ = 79955786985984. Its totient is φ = 5811059294208.

The previous prime is 21837851900927. The next prime is 21837851900939. The reversal of 21837851900928 is 82900915873812.

21837851900928 is a `hidden beast` number, since 21 + 8 + 3 + 7 + 8 + 519 + 0 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×21837851900928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21837851900923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872263975 + ... + 2872271577.

Almost surely, 2^{21837851900928} is an apocalyptic number.

21837851900928 is a gapful number since it is divisible by the number (28) 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 21837851900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977893492992).

21837851900928 is an abundant number, since it is smaller than the sum of its proper divisors (58117935085056).

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

21837851900928 is an equidigital number, since it uses as much as digits as its factorization.

21837851900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 21837851900928 in words is "twenty-one trillion, eight hundred thirty-seven billion, eight hundred fifty-one million, nine hundred thousand, nine hundred twenty-eight".