11412552400 has 60 divisors (see below), whose sum is σ = 27498007872. Its totient is φ = 4551809920.

The previous prime is 11412552397. The next prime is 11412552427. The reversal of 11412552400 is 425521411.

11412552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×11412552400⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 97689 + ... + 179911.

Almost surely, 2^11412552400 is an apocalyptic number.

11412552400 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 11412552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749003936).

11412552400 is an abundant number, since it is smaller than the sum of its proper divisors (16085455472).

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

11412552400 is a wasteful number, since it uses less digits than its factorization.

11412552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82588 (or 82577 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 11412552400 in words is "eleven billion, four hundred twelve million, five hundred fifty-two thousand, four hundred".