11487552400 has 135 divisors (see below), whose sum is σ = 28975321459. Its totient is φ = 4376373760.

The previous prime is 11487552371. The next prime is 11487552449. The reversal of 11487552400 is 425578411.

The square root of 11487552400 is 107180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2262334096 + 9225218304 = 47564^2 + 96048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11487552400.

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, 49302684 + ... + 49302916.

Almost surely, 2^11487552400 is an apocalyptic number.

11487552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11487552400 is the 107180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11487552400

11487552400 is an abundant number, since it is smaller than the sum of its proper divisors (17487769059).

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

11487552400 is an equidigital number, since it uses as much as digits as its factorization.

11487552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 11487552400 in words is "eleven billion, four hundred eighty-seven million, five hundred fifty-two thousand, four hundred".