21629100960 has 144 divisors (see below), whose sum is σ = 74012230656. Its totient is φ = 5751903744.

The previous prime is 21629100953. The next prime is 21629100991. The reversal of 21629100960 is 6900192612.

21629100960 is a `hidden beast` number, since 21 + 629 + 1 + 0 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508017 + ... + 548943.

It is an arithmetic number, because the mean of its divisors is an integer number (513973824).

Almost surely, 2^21629100960 is an apocalyptic number.

21629100960 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 21629100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37006115328).

21629100960 is an abundant number, since it is smaller than the sum of its proper divisors (52383129696).

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

21629100960 is a wasteful number, since it uses less digits than its factorization.

21629100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41315 (or 41304 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21629100960 in words is "twenty-one billion, six hundred twenty-nine million, one hundred thousand, nine hundred sixty".