20053456140 has 144 divisors (see below), whose sum is σ = 59648031072. Its totient is φ = 5033014272.

The previous prime is 20053456109. The next prime is 20053456201. The reversal of 20053456140 is 4165435002.

It is a super-2 number, since 2×20053456140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20053456098 and 20053456107.

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, 3397672 + ... + 3403568.

It is an arithmetic number, because the mean of its divisors is an integer number (414222438).

Almost surely, 2^20053456140 is an apocalyptic number.

20053456140 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 20053456140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29824015536).

20053456140 is an abundant number, since it is smaller than the sum of its proper divisors (39594574932).

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

20053456140 is a wasteful number, since it uses less digits than its factorization.

20053456140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 20053456140 in words is "twenty billion, fifty-three million, four hundred fifty-six thousand, one hundred forty".