21169561516032 has 96 divisors (see below), whose sum is σ = 56514354099840. Its totient is φ = 7047021649920.

The previous prime is 21169561516031. The next prime is 21169561516057. The reversal of 21169561516032 is 23061516596112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21169561516031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2246307 + ... + 6883677.

It is an arithmetic number, because the mean of its divisors is an integer number (588691188540).

Almost surely, 2^{21169561516032} 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 21169561516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28257177049920).

21169561516032 is an abundant number, since it is smaller than the sum of its proper divisors (35344792583808).

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

21169561516032 is an equidigital number, since it uses as much as digits as its factorization.

21169561516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638139 (or 4638119 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 21169561516032 in words is "twenty-one trillion, one hundred sixty-nine billion, five hundred sixty-one million, five hundred sixteen thousand, thirty-two".