20187995464224 has 480 divisors, whose sum is σ = 68267109335040. Its totient is φ = 5732945952768.

The previous prime is 20187995464151. The next prime is 20187995464229. The reversal of 20187995464224 is 42246459978102.

It is a happy number.

20187995464224 is a `hidden beast` number, since 2 + 0 + 1 + 87 + 9 + 9 + 546 + 4 + 2 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20187995464229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5634381537 + ... + 5634385119.

It is an arithmetic number, because the mean of its divisors is an integer number (142223144448).

Almost surely, 2^{20187995464224} is an apocalyptic number.

20187995464224 is a gapful number since it is divisible by the number (24) 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 20187995464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34133554667520).

20187995464224 is an abundant number, since it is smaller than the sum of its proper divisors (48079113870816).

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

20187995464224 is a wasteful number, since it uses less digits than its factorization.

20187995464224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 20187995464224 in words is "twenty trillion, one hundred eighty-seven billion, nine hundred ninety-five million, four hundred sixty-four thousand, two hundred twenty-four".