20087069667840 has 480 divisors, whose sum is σ = 79533220440960. Its totient is φ = 4589720174592.

The previous prime is 20087069667767. The next prime is 20087069667869. The reversal of 20087069667840 is 4876696078002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 494625456 + ... + 494666064.

It is an arithmetic number, because the mean of its divisors is an integer number (165694209252).

Almost surely, 2^{20087069667840} is an apocalyptic number.

20087069667840 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 20087069667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39766610220480).

20087069667840 is an abundant number, since it is smaller than the sum of its proper divisors (59446150773120).

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

20087069667840 is a wasteful number, since it uses less digits than its factorization.

20087069667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43712 (or 43693 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 20087069667840 in words is "twenty trillion, eighty-seven billion, sixty-nine million, six hundred sixty-seven thousand, eight hundred forty".