19387952640 has 1200 divisors, whose sum is σ = 86022253152. Its totient is φ = 4084826112.

The previous prime is 19387952611. The next prime is 19387952723. The reversal of 19387952640 is 4625978391.

19387952640 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 79 + 526 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 523998702 + ... + 523998738.

It is a 1-persistent number, because it is pandigital, but 2⋅19387952640 = 38775905280 is not.

Almost surely, 2^19387952640 is an apocalyptic number.

19387952640 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 19387952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43011126576).

19387952640 is an abundant number, since it is smaller than the sum of its proper divisors (66634300512).

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

19387952640 is an equidigital number, since it uses as much as digits as its factorization.

19387952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 1938795 and 2640, that added together give a triangular number (1941435 = T₁₉₇₀).

The spelling of 19387952640 in words is "nineteen billion, three hundred eighty-seven million, nine hundred fifty-two thousand, six hundred forty".