21152153326304 has 288 divisors, whose sum is σ = 60258849962976. Its totient is φ = 7159686266880.

The previous prime is 21152153326267. The next prime is 21152153326333. The reversal of 21152153326304 is 40362335125112.

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, 1037252 + ... + 6586364.

It is an arithmetic number, because the mean of its divisors is an integer number (209232117927).

Almost surely, 2^{21152153326304} 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 21152153326304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30129424981488).

21152153326304 is an abundant number, since it is smaller than the sum of its proper divisors (39106696636672).

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

21152153326304 is a wasteful number, since it uses less digits than its factorization.

21152153326304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549178 (or 5549163 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 21152153326304 in words is "twenty-one trillion, one hundred fifty-two billion, one hundred fifty-three million, three hundred twenty-six thousand, three hundred four".