21951452160 has 792 divisors, whose sum is σ = 86980927488. Its totient is φ = 5109350400.

The previous prime is 21951452137. The next prime is 21951452161. The reversal of 21951452160 is 6125415912.

21951452160 is a `hidden beast` number, since 2 + 195 + 1 + 452 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21951452161) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 172846017 + ... + 172846143.

Almost surely, 2^21951452160 is an apocalyptic number.

21951452160 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 21951452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43490463744).

21951452160 is an abundant number, since it is smaller than the sum of its proper divisors (65029475328).

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

21951452160 is a wasteful number, since it uses less digits than its factorization.

21951452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 21951452160 in words is "twenty-one billion, nine hundred fifty-one million, four hundred fifty-two thousand, one hundred sixty".