21431156096 has 128 divisors (see below), whose sum is σ = 53020416000. Its totient is φ = 8420474880.

The previous prime is 21431156093. The next prime is 21431156141. The reversal of 21431156096 is 69065113412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21431156096² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21431156093) 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 15 ways as a sum of consecutive naturals, for example, 507440 + ... + 548048.

It is an arithmetic number, because the mean of its divisors is an integer number (414222000).

Almost surely, 2^21431156096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21431156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26510208000).

21431156096 is an abundant number, since it is smaller than the sum of its proper divisors (31589259904).

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

21431156096 is a wasteful number, since it uses less digits than its factorization.

21431156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40680 (or 40668 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 21431156096 in words is "twenty-one billion, four hundred thirty-one million, one hundred fifty-six thousand, ninety-six".