20145438720000 has 2400 divisors, whose sum is σ = 85850811446400. Its totient is φ = 4671406080000.

The previous prime is 20145438719951. The next prime is 20145438720061. The reversal of 20145438720000 is 2783454102.

It is a happy number.

20145438720000 is a `hidden beast` number, since 2 + 0 + 14 + 5 + 438 + 7 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 875888639989 + ... + 875888640011.

It is an arithmetic number, because the mean of its divisors is an integer number (35771171436).

Almost surely, 2^{20145438720000} is an apocalyptic number.

20145438720000 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 20145438720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42925405723200).

20145438720000 is an abundant number, since it is smaller than the sum of its proper divisors (65705372726400).

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

20145438720000 is an frugal number, since it uses more digits than its factorization.

20145438720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20145438720000 in words is "twenty trillion, one hundred forty-five billion, four hundred thirty-eight million, seven hundred twenty thousand".