21488628100 has 81 divisors (see below), whose sum is σ = 47416279183. Its totient is φ = 8452965760.

The previous prime is 21488628013. The next prime is 21488628149. The reversal of 21488628100 is 182688412.

The square root of 21488628100 is 146590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 62694724 + 21425933376 = 7918^2 + 146376^2 .

It is a super-2 number, since 2×21488628100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156851232 + ... + 156851368.

Almost surely, 2^21488628100 is an apocalyptic number.

21488628100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21488628100 is the 146590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21488628100

21488628100 is an abundant number, since it is smaller than the sum of its proper divisors (25927651083).

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

21488628100 is a wasteful number, since it uses less digits than its factorization.

21488628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 21488628100 in words is "twenty-one billion, four hundred eighty-eight million, six hundred twenty-eight thousand, one hundred".