19953949360 has 80 divisors (see below), whose sum is σ = 46843876800. Its totient is φ = 7904332800.

The previous prime is 19953949357. The next prime is 19953949363. The reversal of 19953949360 is 6394935991.

It is an interprime number because it is at equal distance from previous prime (19953949357) and next prime (19953949363).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×19953949360² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19953949295 and 19953949304.

It is not an unprimeable number, because it can be changed into a prime (19953949363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4213554 + ... + 4218286.

It is an arithmetic number, because the mean of its divisors is an integer number (585548460).

Almost surely, 2^19953949360 is an apocalyptic number.

19953949360 is a gapful number since it is divisible by the number (10) 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 19953949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23421938400).

19953949360 is an abundant number, since it is smaller than the sum of its proper divisors (26889927440).

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

19953949360 is a wasteful number, since it uses less digits than its factorization.

19953949360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 58.

The spelling of 19953949360 in words is "nineteen billion, nine hundred fifty-three million, nine hundred forty-nine thousand, three hundred sixty".