19126160640 has 504 divisors, whose sum is σ = 69703670400. Its totient is φ = 5025411072.

The previous prime is 19126160633. The next prime is 19126160659. The reversal of 19126160640 is 4606162191.

19126160640 is a `hidden beast` number, since 1 + 9 + 1 + 2 + 6 + 1 + 6 + 0 + 640 = 666.

It is a super-3 number, since 3×19126160640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19126160595 and 19126160604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 96111261 + ... + 96111459.

Almost surely, 2^19126160640 is an apocalyptic number.

19126160640 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 19126160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34851835200).

19126160640 is an abundant number, since it is smaller than the sum of its proper divisors (50577509760).

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

19126160640 is an equidigital number, since it uses as much as digits as its factorization.

19126160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 19126160640 in words is "nineteen billion, one hundred twenty-six million, one hundred sixty thousand, six hundred forty".