78557312010240 has 2304 divisors, whose sum is σ = 342513819648000. Its totient is φ = 16247575019520.

The previous prime is 78557312010179. The next prime is 78557312010241. The reversal of 78557312010240 is 4201021375587.

78557312010240 is a `hidden beast` number, since 7 + 8 + 5 + 573 + 1 + 20 + 10 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78557312010241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30018077412 + ... + 30018080028.

It is an arithmetic number, because the mean of its divisors is an integer number (148660512000).

Almost surely, 2^{78557312010240} is an apocalyptic number.

78557312010240 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 78557312010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171256909824000).

78557312010240 is an abundant number, since it is smaller than the sum of its proper divisors (263956507637760).

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

78557312010240 is a wasteful number, since it uses less digits than its factorization.

78557312010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 78557312010240 in words is "seventy-eight trillion, five hundred fifty-seven billion, three hundred twelve million, ten thousand, two hundred forty".