20144986759872 has 224 divisors, whose sum is σ = 64155507147200. Its totient is φ = 6198456296448.

The previous prime is 20144986759847. The next prime is 20144986759897. The reversal of 20144986759872 is 27895768944102.

It is a happy number.

20144986759872 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 498 + 6 + 7 + 59 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20144986759847) and next prime (20144986759897).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20144986759872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143258 + ... + 6449574.

It is an arithmetic number, because the mean of its divisors is an integer number (286408514050).

Almost surely, 2^{20144986759872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144986759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32077753573600).

20144986759872 is an abundant number, since it is smaller than the sum of its proper divisors (44010520387328).

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

20144986759872 is an equidigital number, since it uses as much as digits as its factorization.

20144986759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306377 (or 5306335 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 20144986759872 in words is "twenty trillion, one hundred forty-four billion, nine hundred eighty-six million, seven hundred fifty-nine thousand, eight hundred seventy-two".