21346890752 has 176 divisors, whose sum is σ = 50511444480. Its totient is φ = 8906342400.

The previous prime is 21346890739. The next prime is 21346890757. The reversal of 21346890752 is 25709864312.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 21346890697 and 21346890706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346890757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7849649 + ... + 7852367.

It is a 2-persistent number, because it is pandigital, and so is 2⋅21346890752 = 42693781504, but 3⋅21346890752 = 64040672256 is not.

Almost surely, 2^21346890752 is an apocalyptic number.

21346890752 is a gapful number since it is divisible by the number (22) 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 21346890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25255722240).

21346890752 is an abundant number, since it is smaller than the sum of its proper divisors (29164553728).

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

21346890752 is a wasteful number, since it uses less digits than its factorization.

With its successor (21346890753) it forms an eRAP, since the sums of their prime factors are consecutive (2808 and 2809).

21346890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 21346890752 in words is "twenty-one billion, three hundred forty-six million, eight hundred ninety thousand, seven hundred fifty-two".