22087067159040 has 320 divisors, whose sum is σ = 76957286668416. Its totient is φ = 5371310702592.

The previous prime is 22087067158993. The next prime is 22087067159057. The reversal of 22087067159040 is 4095176078022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6954042 + ... + 9619398.

Almost surely, 2^{22087067159040} is an apocalyptic number.

22087067159040 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 22087067159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38478643334208).

22087067159040 is an abundant number, since it is smaller than the sum of its proper divisors (54870219509376).

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

22087067159040 is a wasteful number, since it uses less digits than its factorization.

22087067159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665479 (or 2665463 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 22087067159040 in words is "twenty-two trillion, eighty-seven billion, sixty-seven million, one hundred fifty-nine thousand, forty".