20144574253600 has 144 divisors (see below), whose sum is σ = 50522485478976. Its totient is φ = 7837658496000.

The previous prime is 20144574253577. The next prime is 20144574253631. The reversal of 20144574253600 is 635247544102.

It is a super-2 number, since 2×20144574253600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98495445 + ... + 98699755.

It is an arithmetic number, because the mean of its divisors is an integer number (350850593604).

Almost surely, 2^{20144574253600} is an apocalyptic number.

20144574253600 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 20144574253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25261242739488).

20144574253600 is an abundant number, since it is smaller than the sum of its proper divisors (30377911225376).

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

20144574253600 is a wasteful number, since it uses less digits than its factorization.

20144574253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207699 (or 207686 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 20144574253600 in words is "twenty trillion, one hundred forty-four billion, five hundred seventy-four million, two hundred fifty-three thousand, six hundred".