22611789895680 has 1536 divisors, whose sum is σ = 86103469670400. Its totient is φ = 5618427494400.

The previous prime is 22611789895657. The next prime is 22611789895787. The reversal of 22611789895680 is 8659898711622.

22611789895680 is a `hidden beast` number, since 226 + 1 + 178 + 98 + 95 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×22611789895680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22611789895599 and 22611789895608.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 35834848965 + ... + 35834849595.

It is an arithmetic number, because the mean of its divisors is an integer number (56056946400).

Almost surely, 2^{22611789895680} is an apocalyptic number.

22611789895680 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 22611789895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43051734835200).

22611789895680 is an abundant number, since it is smaller than the sum of its proper divisors (63491679774720).

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

22611789895680 is a wasteful number, since it uses less digits than its factorization.

22611789895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 22611789895680 in words is "twenty-two trillion, six hundred eleven billion, seven hundred eighty-nine million, eight hundred ninety-five thousand, six hundred eighty".