20106801792 has 384 divisors, whose sum is σ = 73032261120. Its totient is φ = 5157734400.

The previous prime is 20106801751. The next prime is 20106801817. The reversal of 20106801792 is 29710860102.

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

It is a super-2 number, since 2×20106801792² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7361067 + ... + 7363797.

It is an arithmetic number, because the mean of its divisors is an integer number (190188180).

Almost surely, 2^20106801792 is an apocalyptic number.

20106801792 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 20106801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36516130560).

20106801792 is an abundant number, since it is smaller than the sum of its proper divisors (52925459328).

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

20106801792 is a wasteful number, since it uses less digits than its factorization.

20106801792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20106801792 in words is "twenty billion, one hundred six million, eight hundred one thousand, seven hundred ninety-two".