1047168093960 has 384 divisors, whose sum is σ = 3575583648000. Its totient is φ = 275598360576.

The previous prime is 1047168093929. The next prime is 1047168093967. The reversal of 1047168093960 is 693908617401.

1047168093960 is a `hidden beast` number, since 1 + 0 + 471 + 6 + 80 + 9 + 3 + 96 + 0 = 666.

It is a super-2 number, since 2×1047168093960² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1047168093897 and 1047168093906.

It is not an unprimeable number, because it can be changed into a prime (1047168093967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803658669 + ... + 803659971.

It is an arithmetic number, because the mean of its divisors is an integer number (9311415750).

Almost surely, 2^{1047168093960} is an apocalyptic number.

1047168093960 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 1047168093960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787791824000).

1047168093960 is an abundant number, since it is smaller than the sum of its proper divisors (2528415554040).

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

1047168093960 is a wasteful number, since it uses less digits than its factorization.

1047168093960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1047168093960 in words is "one trillion, forty-seven billion, one hundred sixty-eight million, ninety-three thousand, nine hundred sixty".