19012752640 has 216 divisors, whose sum is σ = 54808858440. Its totient is φ = 6293274624.

The previous prime is 19012752613. The next prime is 19012752641. The reversal of 19012752640 is 4625721091.

It can be written as a sum of positive squares in 4 ways, for example, as 7112560896 + 11900191744 = 84336^2 + 109088^2 .

It is a super-2 number, since 2×19012752640² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19012752640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19012752641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1813654 + ... + 1824106.

It is an arithmetic number, because the mean of its divisors is an integer number (253744715).

Almost surely, 2^19012752640 is an apocalyptic number.

19012752640 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 19012752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27404429220).

19012752640 is an abundant number, since it is smaller than the sum of its proper divisors (35796105800).

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

19012752640 is a wasteful number, since it uses less digits than its factorization.

19012752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 19012752640 in words is "nineteen billion, twelve million, seven hundred fifty-two thousand, six hundred forty".