19007745120 has 960 divisors, whose sum is σ = 84093520896. Its totient is φ = 3936522240.

The previous prime is 19007745109. The next prime is 19007745131. The reversal of 19007745120 is 2154770091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19007745109) and next prime (19007745131).

It is a super-2 number, since 2×19007745120² (a number of 21 digits) contains 22 as substring.

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

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, 83734447 + ... + 83734673.

Almost surely, 2^19007745120 is an apocalyptic number.

19007745120 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 19007745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42046760448).

19007745120 is an abundant number, since it is smaller than the sum of its proper divisors (65085775776).

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

19007745120 is a wasteful number, since it uses less digits than its factorization.

19007745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 19007745120 in words is "nineteen billion, seven million, seven hundred forty-five thousand, one hundred twenty".