20720142000 has 240 divisors, whose sum is σ = 72514465920. Its totient is φ = 5514240000.

The previous prime is 20720141963. The next prime is 20720142019. The reversal of 20720142000 is 24102702.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12941200 + ... + 12942800.

It is an arithmetic number, because the mean of its divisors is an integer number (302143608).

Almost surely, 2^20720142000 is an apocalyptic number.

20720142000 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 20720142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36257232960).

20720142000 is an abundant number, since it is smaller than the sum of its proper divisors (51794323920).

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

20720142000 is a wasteful number, since it uses less digits than its factorization.

20720142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 20720142000 its reverse (24102702), we get a palindrome (20744244702).

The spelling of 20720142000 in words is "twenty billion, seven hundred twenty million, one hundred forty-two thousand".