21693928930128 has 2880 divisors, whose sum is σ = 85774522579200. Its totient is φ = 5249718190080.

The previous prime is 21693928930123. The next prime is 21693928930159. The reversal of 21693928930128 is 82103982939612.

21693928930128 is a `hidden beast` number, since 2 + 16 + 9 + 39 + 289 + 301 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21693928930123) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 156071431083 + ... + 156071431221.

It is an arithmetic number, because the mean of its divisors is an integer number (29782820340).

Almost surely, 2^{21693928930128} is an apocalyptic number.

21693928930128 is a gapful number since it is divisible by the number (28) 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 21693928930128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42887261289600).

21693928930128 is an abundant number, since it is smaller than the sum of its proper divisors (64080593649072).

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

21693928930128 is a wasteful number, since it uses less digits than its factorization.

21693928930128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 21693928930128 in words is "twenty-one trillion, six hundred ninety-three billion, nine hundred twenty-eight million, nine hundred thirty thousand, one hundred twenty-eight".