22751965082880 has 864 divisors, whose sum is σ = 89961829292160. Its totient is φ = 5439998361600.

The previous prime is 22751965082831. The next prime is 22751965082909. The reversal of 22751965082880 is 8828056915722.

22751965082880 is a `hidden beast` number, since 2 + 27 + 5 + 1 + 9 + 6 + 508 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305231215 + ... + 305305745.

Almost surely, 2^{22751965082880} is an apocalyptic number.

22751965082880 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 22751965082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44980914646080).

22751965082880 is an abundant number, since it is smaller than the sum of its proper divisors (67209864209280).

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

22751965082880 is a wasteful number, since it uses less digits than its factorization.

22751965082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74656 (or 74625 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 22751965082880 in words is "twenty-two trillion, seven hundred fifty-one billion, nine hundred sixty-five million, eighty-two thousand, eight hundred eighty".