21152910240 has 1440 divisors, whose sum is σ = 98109107712. Its totient is φ = 4196966400.

The previous prime is 21152910217. The next prime is 21152910241. The reversal of 21152910240 is 4201925112.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×21152910240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152910241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 450061897 + ... + 450061943.

Almost surely, 2^21152910240 is an apocalyptic number.

21152910240 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 21152910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49054553856).

21152910240 is an abundant number, since it is smaller than the sum of its proper divisors (76956197472).

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

21152910240 is a wasteful number, since it uses less digits than its factorization.

21152910240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 21152910240 in words is "twenty-one billion, one hundred fifty-two million, nine hundred ten thousand, two hundred forty".