19578378240 has 384 divisors, whose sum is σ = 73277568000. Its totient is φ = 4944789504.

The previous prime is 19578378227. The next prime is 19578378277. The reversal of 19578378240 is 4287387591.

It is a happy number.

19578378240 is a `hidden beast` number, since 19 + 578 + 37 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5251257 + ... + 5254983.

It is an arithmetic number, because the mean of its divisors is an integer number (190827000).

Almost surely, 2^19578378240 is an apocalyptic number.

19578378240 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 19578378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36638784000).

19578378240 is an abundant number, since it is smaller than the sum of its proper divisors (53699189760).

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

19578378240 is a wasteful number, since it uses less digits than its factorization.

19578378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 19578378240 in words is "nineteen billion, five hundred seventy-eight million, three hundred seventy-eight thousand, two hundred forty".