21688528177360 has 160 divisors (see below), whose sum is σ = 55304921722752. Its totient is φ = 7844526243840.

The previous prime is 21688528177343. The next prime is 21688528177367. The reversal of 21688528177360 is 6377182588612.

It is a junction number, because it is equal to n+sod(n) for n = 21688528177292 and 21688528177301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21688528177367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194117032 + ... + 194228728.

Almost surely, 2^{21688528177360} is an apocalyptic number.

21688528177360 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 21688528177360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27652460861376).

21688528177360 is an abundant number, since it is smaller than the sum of its proper divisors (33616393545392).

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

21688528177360 is a wasteful number, since it uses less digits than its factorization.

21688528177360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112901 (or 112895 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 64.

The spelling of 21688528177360 in words is "twenty-one trillion, six hundred eighty-eight billion, five hundred twenty-eight million, one hundred seventy-seven thousand, three hundred sixty".