19648758240 has 144 divisors (see below), whose sum is σ = 68863773888. Its totient is φ = 5098042368.

The previous prime is 19648758167. The next prime is 19648758271. The reversal of 19648758240 is 4285784691.

It is a happy number.

19648758240 is a `hidden beast` number, since 1 + 96 + 487 + 58 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131112 + ... + 237671.

It is an arithmetic number, because the mean of its divisors is an integer number (478220652).

Almost surely, 2^19648758240 is an apocalyptic number.

19648758240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19648758240 is an abundant number, since it is smaller than the sum of its proper divisors (49215015648).

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

19648758240 is a wasteful number, since it uses less digits than its factorization.

19648758240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368841 (or 368830 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 19648758240 in words is "nineteen billion, six hundred forty-eight million, seven hundred fifty-eight thousand, two hundred forty".