1047078510768 has 320 divisors, whose sum is σ = 3102231623040. Its totient is φ = 338010624000.

The previous prime is 1047078510713. The next prime is 1047078510769. The reversal of 1047078510768 is 8670158707401.

1047078510768 is a `hidden beast` number, since 1 + 0 + 470 + 7 + 8 + 5 + 107 + 68 = 666.

1047078510768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1047078510769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524324746 + ... + 524326742.

It is an arithmetic number, because the mean of its divisors is an integer number (9694473822).

Almost surely, 2^{1047078510768} is an apocalyptic number.

1047078510768 is a gapful number since it is divisible by the number (18) 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 1047078510768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551115811520).

1047078510768 is an abundant number, since it is smaller than the sum of its proper divisors (2055153112272).

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

1047078510768 is a wasteful number, since it uses less digits than its factorization.

1047078510768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 1047078510768 in words is "one trillion, forty-seven billion, seventy-eight million, five hundred ten thousand, seven hundred sixty-eight".