20153104400000 has 384 divisors, whose sum is σ = 58956115317120. Its totient is φ = 6764659200000.

The previous prime is 20153104399991. The next prime is 20153104400027. The reversal of 20153104400000 is 440135102.

It is a super-2 number, since 2×20153104400000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 57023837 + ... + 57376163.

It is an arithmetic number, because the mean of its divisors is an integer number (153531550305).

Almost surely, 2^{20153104400000} is an apocalyptic number.

20153104400000 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 20153104400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29478057658560).

20153104400000 is an abundant number, since it is smaller than the sum of its proper divisors (38803010917120).

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

20153104400000 is an equidigital number, since it uses as much as digits as its factorization.

20153104400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352390 (or 352358 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20153104400000 its reverse (440135102), we get a palindrome (20153544535102).

The spelling of 20153104400000 in words is "twenty trillion, one hundred fifty-three billion, one hundred four million, four hundred thousand".