10978410996000 has 1728 divisors, whose sum is σ = 46247092819200. Its totient is φ = 2458784563200.

The previous prime is 10978410995999. The next prime is 10978410996001. The reversal of 10978410996000 is 69901487901.

10978410996000 is a `hidden beast` number, since 10 + 9 + 7 + 8 + 4 + 10 + 9 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10978410995999) and next prime (10978410996001).

It is not an unprimeable number, because it can be changed into a prime (10978410996001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24450803776 + ... + 24450804224.

It is an arithmetic number, because the mean of its divisors is an integer number (26763363900).

Almost surely, 2^{10978410996000} is an apocalyptic number.

10978410996000 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 10978410996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123546409600).

10978410996000 is an abundant number, since it is smaller than the sum of its proper divisors (35268681823200).

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

10978410996000 is a wasteful number, since it uses less digits than its factorization.

10978410996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 10978410996000 in words is "ten trillion, nine hundred seventy-eight billion, four hundred ten million, nine hundred ninety-six thousand".