22431260378880 has 3240 divisors, whose sum is σ = 95000180592240. Its totient is φ = 5035563417600.

The previous prime is 22431260378827. The next prime is 22431260378909. The reversal of 22431260378880 is 8887306213422.

22431260378880 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 1 + 260 + 378 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×22431260378880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 547103911660 + ... + 547103911700.

Almost surely, 2^{22431260378880} is an apocalyptic number.

22431260378880 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 22431260378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47500090296120).

22431260378880 is an abundant number, since it is smaller than the sum of its proper divisors (72568920213360).

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

22431260378880 is a wasteful number, since it uses less digits than its factorization.

22431260378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 22431260378880 in words is "twenty-two trillion, four hundred thirty-one billion, two hundred sixty million, three hundred seventy-eight thousand, eight hundred eighty".