11008295020800 has 3888 divisors, whose sum is σ = 52492394188416. Its totient is φ = 2233516032000.

The previous prime is 11008295020777. The next prime is 11008295020819. The reversal of 11008295020800 is 802059280011.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 80352518332 + ... + 80352518468.

Almost surely, 2^{11008295020800} is an apocalyptic number.

11008295020800 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 11008295020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26246197094208).

11008295020800 is an abundant number, since it is smaller than the sum of its proper divisors (41484099167616).

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

11008295020800 is a wasteful number, since it uses less digits than its factorization.

11008295020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11008295020800 in words is "eleven trillion, eight billion, two hundred ninety-five million, twenty thousand, eight hundred".