21160901520 has 240 divisors, whose sum is σ = 77623603200. Its totient is φ = 5123450880.

The previous prime is 21160901519. The next prime is 21160901539. The reversal of 21160901520 is 2510906112.

21160901520 is a `hidden beast` number, since 2 + 1 + 1 + 609 + 0 + 1 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10128636 + ... + 10130724.

It is an arithmetic number, because the mean of its divisors is an integer number (323431680).

Almost surely, 2^21160901520 is an apocalyptic number.

21160901520 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 21160901520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811801600).

21160901520 is an abundant number, since it is smaller than the sum of its proper divisors (56462701680).

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

21160901520 is a wasteful number, since it uses less digits than its factorization.

21160901520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 21160901520 in words is "twenty-one billion, one hundred sixty million, nine hundred one thousand, five hundred twenty".