20252187648000 has 4032 divisors, whose sum is σ = 96720626935296. Its totient is φ = 4180377600000.

The previous prime is 20252187647953. The next prime is 20252187648019. The reversal of 20252187648000 is 84678125202.

20252187648000 is a `hidden beast` number, since 2 + 0 + 2 + 521 + 87 + 6 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×20252187648000² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 134120447925 + ... + 134120448075.

It is an arithmetic number, because the mean of its divisors is an integer number (23988250728).

Almost surely, 2^{20252187648000} is an apocalyptic number.

20252187648000 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 20252187648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360313467648).

20252187648000 is an abundant number, since it is smaller than the sum of its proper divisors (76468439287296).

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

20252187648000 is an equidigital number, since it uses as much as digits as its factorization.

20252187648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 20252187648000 in words is "twenty trillion, two hundred fifty-two billion, one hundred eighty-seven million, six hundred forty-eight thousand".