22145602590720 has 2592 divisors, whose sum is σ = 96040326564000. Its totient is φ = 4898566471680.

The previous prime is 22145602590679. The next prime is 22145602590737. The reversal of 22145602590720 is 2709520654122.

22145602590720 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 56 + 0 + 2 + 590 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×22145602590720² (a number of 27 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 714374277105 + ... + 714374277135.

It is an arithmetic number, because the mean of its divisors is an integer number (37052595125).

Almost surely, 2^{22145602590720} is an apocalyptic number.

22145602590720 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 22145602590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48020163282000).

22145602590720 is an abundant number, since it is smaller than the sum of its proper divisors (73894723973280).

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

22145602590720 is an frugal number, since it uses more digits than its factorization.

22145602590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22145602590720 in words is "twenty-two trillion, one hundred forty-five billion, six hundred two million, five hundred ninety thousand, seven hundred twenty".