21752445785616 has 2560 divisors, whose sum is σ = 89741456179200. Its totient is φ = 4875992432640.

The previous prime is 21752445785611. The next prime is 21752445785621. The reversal of 21752445785616 is 61658754425712.

21752445785616 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 2 + 4 + 4 + 5 + 7 + 8 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (21752445785611) and next prime (21752445785621).

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

It is not an unprimeable number, because it can be changed into a prime (21752445785611) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28735066710 + ... + 28735067466.

It is an arithmetic number, because the mean of its divisors is an integer number (35055256320).

Almost surely, 2^{21752445785616} is an apocalyptic number.

21752445785616 is a gapful number since it is divisible by the number (26) 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 21752445785616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44870728089600).

21752445785616 is an abundant number, since it is smaller than the sum of its proper divisors (67989010393584).

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

21752445785616 is a wasteful number, since it uses less digits than its factorization.

21752445785616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 21752445785616 in words is "twenty-one trillion, seven hundred fifty-two billion, four hundred forty-five million, seven hundred eighty-five thousand, six hundred sixteen".