1078750632960 has 2376 divisors, whose sum is σ = 5156313838416. Its totient is φ = 206108098560.

The previous prime is 1078750632893. The next prime is 1078750632961. The reversal of 1078750632960 is 692360578701.

1078750632960 is a `hidden beast` number, since 1 + 0 + 78 + 7 + 506 + 3 + 2 + 9 + 60 = 666.

It is a super-3 number, since 3×1078750632960³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1078750632897 and 1078750632906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078750632961) 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 215 ways as a sum of consecutive naturals, for example, 4197473152 + ... + 4197473408.

Almost surely, 2^{1078750632960} is an apocalyptic number.

1078750632960 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 1078750632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578156919208).

1078750632960 is an abundant number, since it is smaller than the sum of its proper divisors (4077563205456).

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

1078750632960 is a wasteful number, since it uses less digits than its factorization.

1078750632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1078750632960 in words is "one trillion, seventy-eight billion, seven hundred fifty million, six hundred thirty-two thousand, nine hundred sixty".