10978560907776 has 1440 divisors, whose sum is σ = 41131680011136. Its totient is φ = 2786918400000.

The previous prime is 10978560907751. The next prime is 10978560907777. The reversal of 10978560907776 is 67770906587901.

10978560907776 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 8 + 5 + 609 + 0 + 7 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10978560907777) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27377957176 + ... + 27377957576.

Almost surely, 2^{10978560907776} is an apocalyptic number.

10978560907776 is a gapful number since it is divisible by the number (16) 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 10978560907776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20565840005568).

10978560907776 is an abundant number, since it is smaller than the sum of its proper divisors (30153119103360).

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

10978560907776 is a wasteful number, since it uses less digits than its factorization.

10978560907776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 10978560907776 in words is "ten trillion, nine hundred seventy-eight billion, five hundred sixty million, nine hundred seven thousand, seven hundred seventy-six".