11004564311400 has 384 divisors, whose sum is σ = 38023954882560. Its totient is φ = 2609864832000.

The previous prime is 11004564311387. The next prime is 11004564311413. The reversal of 11004564311400 is 411346540011.

It is an interprime number because it is at equal distance from previous prime (11004564311387) and next prime (11004564311413).

It is a super-2 number, since 2×11004564311400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858316990 + ... + 858329810.

It is an arithmetic number, because the mean of its divisors is an integer number (99020715840).

Almost surely, 2^{11004564311400} is an apocalyptic number.

11004564311400 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 11004564311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19011977441280).

11004564311400 is an abundant number, since it is smaller than the sum of its proper divisors (27019390571160).

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

11004564311400 is a wasteful number, since it uses less digits than its factorization.

11004564311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15665 (or 15656 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11004564311400 in words is "eleven trillion, four billion, five hundred sixty-four million, three hundred eleven thousand, four hundred".