19855826706240 has 1120 divisors, whose sum is σ = 83086246425600. Its totient is φ = 4407372103680.

The previous prime is 19855826706217. The next prime is 19855826706257. The reversal of 19855826706240 is 4260762855891.

19855826706240 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 582 + 6 + 7 + 0 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 874348006 + ... + 874370714.

Almost surely, 2^{19855826706240} is an apocalyptic number.

19855826706240 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 19855826706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41543123212800).

19855826706240 is an abundant number, since it is smaller than the sum of its proper divisors (63230419719360).

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

19855826706240 is a wasteful number, since it uses less digits than its factorization.

19855826706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22885 (or 22866 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 19855826706240 in words is "nineteen trillion, eight hundred fifty-five billion, eight hundred twenty-six million, seven hundred six thousand, two hundred forty".