10994567270400 has 3744 divisors, whose sum is σ = 51108568842240. Its totient is φ = 2285591592960.

The previous prime is 10994567270381. The next prime is 10994567270411. The reversal of 10994567270400 is 407276549901.

10994567270400 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 4 + 567 + 2 + 70 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 139171737561 + ... + 139171737639.

It is an arithmetic number, because the mean of its divisors is an integer number (13650792960).

Almost surely, 2^{10994567270400} is an apocalyptic number.

10994567270400 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 10994567270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25554284421120).

10994567270400 is an abundant number, since it is smaller than the sum of its proper divisors (40114001571840).

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

10994567270400 is an equidigital number, since it uses as much as digits as its factorization.

10994567270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

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

The spelling of 10994567270400 in words is "ten trillion, nine hundred ninety-four billion, five hundred sixty-seven million, two hundred seventy thousand, four hundred".