21141508960 has 384 divisors, whose sum is σ = 62134345728. Its totient is φ = 6690816000.

The previous prime is 21141508951. The next prime is 21141508961. The reversal of 21141508960 is 6980514112.

It is a super-2 number, since 2×21141508960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141508961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29080117 + ... + 29080843.

It is an arithmetic number, because the mean of its divisors is an integer number (161808192).

Almost surely, 2^21141508960 is an apocalyptic number.

21141508960 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 21141508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31067172864).

21141508960 is an abundant number, since it is smaller than the sum of its proper divisors (40992836768).

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

21141508960 is a wasteful number, since it uses less digits than its factorization.

21141508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 21141508960 in words is "twenty-one billion, one hundred forty-one million, five hundred eight thousand, nine hundred sixty".