21772605137600 has 84 divisors (see below), whose sum is σ = 53576637066984. Its totient is φ = 8708648570880.

The previous prime is 21772605137593. The next prime is 21772605137639. The reversal of 21772605137600 is 673150627712.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36492887 + ... + 37084713.

Almost surely, 2^{21772605137600} is an apocalyptic number.

21772605137600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21772605137600 is an abundant number, since it is smaller than the sum of its proper divisors (31804031929384).

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

21772605137600 is a wasteful number, since it uses less digits than its factorization.

21772605137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614842 (or 614827 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 21772605137600 in words is "twenty-one trillion, seven hundred seventy-two billion, six hundred five million, one hundred thirty-seven thousand, six hundred".