19132540416 has 320 divisors, whose sum is σ = 63120245760. Its totient is φ = 5672263680.

The previous prime is 19132540397. The next prime is 19132540433. The reversal of 19132540416 is 61404523191.

It is a happy number.

19132540416 is a `hidden beast` number, since 191 + 3 + 2 + 54 + 0 + 416 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7145670 + ... + 7148346.

It is an arithmetic number, because the mean of its divisors is an integer number (197250768).

Almost surely, 2^19132540416 is an apocalyptic number.

19132540416 is a gapful number since it is divisible by the number (16) 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 19132540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31560122880).

19132540416 is an abundant number, since it is smaller than the sum of its proper divisors (43987705344).

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

19132540416 is a wasteful number, since it uses less digits than its factorization.

19132540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19132540416 in words is "nineteen billion, one hundred thirty-two million, five hundred forty thousand, four hundred sixteen".