11027750400 has 480 divisors, whose sum is σ = 42881050080. Its totient is φ = 2766274560.

The previous prime is 11027750399. The next prime is 11027750449. The reversal of 11027750400 is 405772011.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11027750400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5874262 + ... + 5876138.

It is an arithmetic number, because the mean of its divisors is an integer number (89335521).

Almost surely, 2^11027750400 is an apocalyptic number.

11027750400 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 11027750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440525040).

11027750400 is an abundant number, since it is smaller than the sum of its proper divisors (31853299680).

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

11027750400 is a wasteful number, since it uses less digits than its factorization.

11027750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 11027750400 in words is "eleven billion, twenty-seven million, seven hundred fifty thousand, four hundred".