78519293440 has 240 divisors, whose sum is σ = 224107366032. Its totient is φ = 26293026816.

The previous prime is 78519293401. The next prime is 78519293443. The reversal of 78519293440 is 4439291587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78519293443) 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, 5386642 + ... + 5401198.

Almost surely, 2^78519293440 is an apocalyptic number.

78519293440 is a gapful number since it is divisible by the number (70) 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 78519293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112053683016).

78519293440 is an abundant number, since it is smaller than the sum of its proper divisors (145588072592).

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

78519293440 is a wasteful number, since it uses less digits than its factorization.

78519293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14637 (or 14614 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 78519293440 in words is "seventy-eight billion, five hundred nineteen million, two hundred ninety-three thousand, four hundred forty".