20587985100000 has 432 divisors, whose sum is σ = 74419686366480. Its totient is φ = 5397062400000.

The previous prime is 20587985099953. The next prime is 20587985100019. The reversal of 20587985100000 is 158978502.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 52906140 + ... + 53293860.

It is an arithmetic number, because the mean of its divisors is an integer number (172267792515).

Almost surely, 2^{20587985100000} is an apocalyptic number.

20587985100000 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 20587985100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209843183240).

20587985100000 is an abundant number, since it is smaller than the sum of its proper divisors (53831701266480).

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

20587985100000 is an equidigital number, since it uses as much as digits as its factorization.

20587985100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387821 (or 387790 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 20587985100000 in words is "twenty trillion, five hundred eighty-seven billion, nine hundred eighty-five million, one hundred thousand".