22553148330720 has 2304 divisors, whose sum is σ = 100566385920000. Its totient is φ = 4571995373568.

The previous prime is 22553148330707. The next prime is 22553148330743. The reversal of 22553148330720 is 2703384135522.

It is a happy number.

22553148330720 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 314 + 8 + 3 + 307 + 20 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59506987491 + ... + 59506987869.

It is an arithmetic number, because the mean of its divisors is an integer number (43648605000).

Almost surely, 2^{22553148330720} is an apocalyptic number.

22553148330720 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 22553148330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50283192960000).

22553148330720 is an abundant number, since it is smaller than the sum of its proper divisors (78013237589280).

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

22553148330720 is a wasteful number, since it uses less digits than its factorization.

22553148330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 22553148330720 in words is "twenty-two trillion, five hundred fifty-three billion, one hundred forty-eight million, three hundred thirty thousand, seven hundred twenty".