20013653424640 has 320 divisors, whose sum is σ = 50045610447360. Its totient is φ = 7666523504640.

The previous prime is 20013653424577. The next prime is 20013653424641. The reversal of 20013653424640 is 4642435631002.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20013653424593 and 20013653424602.

It is not an unprimeable number, because it can be changed into a prime (20013653424641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8660169085 + ... + 8660171395.

It is an arithmetic number, because the mean of its divisors is an integer number (156392532648).

Almost surely, 2^{20013653424640} is an apocalyptic number.

20013653424640 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 20013653424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25022805223680).

20013653424640 is an abundant number, since it is smaller than the sum of its proper divisors (30031957022720).

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

20013653424640 is a wasteful number, since it uses less digits than its factorization.

20013653424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 20013653424640 in words is "twenty trillion, thirteen billion, six hundred fifty-three million, four hundred twenty-four thousand, six hundred forty".