22000555967040 has 336 divisors, whose sum is σ = 86491215213312. Its totient is φ = 5028228845568.

The previous prime is 22000555966993. The next prime is 22000555967081. The reversal of 22000555967040 is 4076955500022.

22000555967040 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 55 + 596 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 245040237 + ... + 245130003.

It is an arithmetic number, because the mean of its divisors is an integer number (257414330992).

Almost surely, 2^{22000555967040} is an apocalyptic number.

22000555967040 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 22000555967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43245607606656).

22000555967040 is an abundant number, since it is smaller than the sum of its proper divisors (64490659246272).

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

22000555967040 is a wasteful number, since it uses less digits than its factorization.

22000555967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101954 (or 101941 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 22000555967040 in words is "twenty-two trillion, five hundred fifty-five million, nine hundred sixty-seven thousand, forty".