22528033295040 has 3360 divisors, whose sum is σ = 109628384532480. Its totient is φ = 4276789051392.

The previous prime is 22528033294939. The next prime is 22528033295051. The reversal of 22528033295040 is 4059233082522.

22528033295040 is a `hidden beast` number, since 2 + 2 + 5 + 280 + 3 + 329 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-3 number, since 3×22528033295040³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11989372821 + ... + 11989374699.

Almost surely, 2^{22528033295040} is an apocalyptic number.

22528033295040 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 22528033295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54814192266240).

22528033295040 is an abundant number, since it is smaller than the sum of its proper divisors (87100351237440).

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

22528033295040 is a wasteful number, since it uses less digits than its factorization.

22528033295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 22528033295040 in words is "twenty-two trillion, five hundred twenty-eight billion, thirty-three million, two hundred ninety-five thousand, forty".