20153403152000 has 128 divisors (see below), whose sum is σ = 50120395537680. Its totient is φ = 8059109376000.

The previous prime is 20153403151951. The next prime is 20153403152009. The reversal of 20153403152000 is 25130435102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1510558986304 + 18642844165696 = 1229048^2 + 4317736^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20153403152009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57697880 + ... + 58046120.

Almost surely, 2^{20153403152000} is an apocalyptic number.

20153403152000 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 20153403152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25060197768840).

20153403152000 is an abundant number, since it is smaller than the sum of its proper divisors (29966992385680).

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

20153403152000 is an equidigital number, since it uses as much as digits as its factorization.

20153403152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351887 (or 351865 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 20153403152000 its reverse (25130435102), we get a palindrome (20178533587102).

The spelling of 20153403152000 in words is "twenty trillion, one hundred fifty-three billion, four hundred three million, one hundred fifty-two thousand".