78570949248 has 576 divisors, whose sum is σ = 267415162560. Its totient is φ = 22045900800.

The previous prime is 78570949241. The next prime is 78570949271. The reversal of 78570949248 is 84294907587.

78570949248 is a `hidden beast` number, since 78 + 5 + 70 + 9 + 492 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (78570949241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 168245911 + ... + 168246377.

It is an arithmetic number, because the mean of its divisors is an integer number (464262435).

Almost surely, 2^78570949248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78570949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133707581280).

78570949248 is an abundant number, since it is smaller than the sum of its proper divisors (188844213312).

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

78570949248 is a wasteful number, since it uses less digits than its factorization.

78570949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 78570949248 in words is "seventy-eight billion, five hundred seventy million, nine hundred forty-nine thousand, two hundred forty-eight".