20106675072 has 384 divisors, whose sum is σ = 66448512000. Its totient is φ = 5776404480.

The previous prime is 20106675041. The next prime is 20106675079. The reversal of 20106675072 is 27057660102.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20106675079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43426713 + ... + 43427175.

It is an arithmetic number, because the mean of its divisors is an integer number (173043000).

Almost surely, 2^20106675072 is an apocalyptic number.

20106675072 is a gapful number since it is divisible by the number (22) 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 20106675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33224256000).

20106675072 is an abundant number, since it is smaller than the sum of its proper divisors (46341836928).

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

20106675072 is a wasteful number, since it uses less digits than its factorization.

20106675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 20106675072 in words is "twenty billion, one hundred six million, six hundred seventy-five thousand, seventy-two".