19513911220848 has 800 divisors, whose sum is σ = 65793168967680. Its totient is φ = 5521690944000.

The previous prime is 19513911220777. The next prime is 19513911220883. The reversal of 19513911220848 is 84802211931591.

19513911220848 is a `hidden beast` number, since 1 + 9 + 5 + 1 + 391 + 1 + 2 + 208 + 48 = 666.

It is a super-2 number, since 2×19513911220848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19513911220794 and 19513911220803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6115294933 + ... + 6115298123.

Almost surely, 2^{19513911220848} is an apocalyptic number.

19513911220848 is a gapful number since it is divisible by the number (18) 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 19513911220848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32896584483840).

19513911220848 is an abundant number, since it is smaller than the sum of its proper divisors (46279257746832).

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

19513911220848 is a wasteful number, since it uses less digits than its factorization.

19513911220848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 19513911220848 in words is "nineteen trillion, five hundred thirteen billion, nine hundred eleven million, two hundred twenty thousand, eight hundred forty-eight".