21148750080 has 540 divisors, whose sum is σ = 78296595300. Its totient is φ = 5450416128.

The previous prime is 21148750067. The next prime is 21148750121. The reversal of 21148750080 is 8005784112.

21148750080 is a `hidden beast` number, since 2 + 1 + 148 + 7 + 500 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 578306304 + 20570443776 = 24048^2 + 143424^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

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 59 ways as a sum of consecutive naturals, for example, 141937846 + ... + 141937994.

It is an arithmetic number, because the mean of its divisors is an integer number (144993695).

Almost surely, 2^21148750080 is an apocalyptic number.

21148750080 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 21148750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39148297650).

21148750080 is an abundant number, since it is smaller than the sum of its proper divisors (57147845220).

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

21148750080 is an equidigital number, since it uses as much as digits as its factorization.

21148750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 21148750080 in words is "twenty-one billion, one hundred forty-eight million, seven hundred fifty thousand, eighty".