11163082854400 has 351 divisors, whose sum is σ = 28357145927761. Its totient is φ = 4358744965120.

The previous prime is 11163082854383. The next prime is 11163082854439. The reversal of 11163082854400 is 445828036111.

The square root of 11163082854400 is 3341120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 34613858304 + 11128468996096 = 186048^2 + 3335936^2 .

It is a super-2 number, since 2×11163082854400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56665395102 + ... + 56665395298.

Almost surely, 2^{11163082854400} is an apocalyptic number.

11163082854400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11163082854400 is the 3341120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11163082854400

11163082854400 is an abundant number, since it is smaller than the sum of its proper divisors (17194063073361).

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

11163082854400 is an frugal number, since it uses more digits than its factorization.

11163082854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 11163082854400 in words is "eleven trillion, one hundred sixty-three billion, eighty-two million, eight hundred fifty-four thousand, four hundred".