21601630674360 has 192 divisors, whose sum is σ = 76623569343360. Its totient is φ = 5234299488000.

The previous prime is 21601630674307. The next prime is 21601630674391. The reversal of 21601630674360 is 6347603610612.

21601630674360 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 1 + 630 + 6 + 7 + 4 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×21601630674360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7158855 + ... + 9718665.

It is an arithmetic number, because the mean of its divisors is an integer number (399081090330).

Almost surely, 2^{21601630674360} is an apocalyptic number.

21601630674360 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 21601630674360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38311784671680).

21601630674360 is an abundant number, since it is smaller than the sum of its proper divisors (55021938669000).

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

21601630674360 is a wasteful number, since it uses less digits than its factorization.

21601630674360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561970 (or 2561963 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 21601630674360 in words is "twenty-one trillion, six hundred one billion, six hundred thirty million, six hundred seventy-four thousand, three hundred sixty".