21146920320 has 384 divisors, whose sum is σ = 71054154720. Its totient is φ = 5348229120.

The previous prime is 21146920309. The next prime is 21146920357. The reversal of 21146920320 is 2302964112.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 134693682 + ... + 134693838.

Almost surely, 2^21146920320 is an apocalyptic number.

21146920320 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 21146920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35527077360).

21146920320 is an abundant number, since it is smaller than the sum of its proper divisors (49907234400).

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

21146920320 is a wasteful number, since it uses less digits than its factorization.

21146920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 21146920320 in words is "twenty-one billion, one hundred forty-six million, nine hundred twenty thousand, three hundred twenty".