11630556532400 has 120 divisors (see below), whose sum is σ = 30103531115280. Its totient is φ = 4292689259520.

The previous prime is 11630556532381. The next prime is 11630556532409. The reversal of 11630556532400 is 423565503611.

11630556532400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11630556532409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12977174 + ... + 13844426.

It is an arithmetic number, because the mean of its divisors is an integer number (250862759294).

Almost surely, 2^{11630556532400} is an apocalyptic number.

11630556532400 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 11630556532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051765557640).

11630556532400 is an abundant number, since it is smaller than the sum of its proper divisors (18472974582880).

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

11630556532400 is a wasteful number, since it uses less digits than its factorization.

11630556532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869863 (or 869852 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 11630556532400 in words is "eleven trillion, six hundred thirty billion, five hundred fifty-six million, five hundred thirty-two thousand, four hundred".