11604787296400 has 135 divisors (see below), whose sum is σ = 28290507970393. Its totient is φ = 4574628150400.

The previous prime is 11604787296397. The next prime is 11604787296409. The reversal of 11604787296400 is 469278740611.

The square root of 11604787296400 is 3406580.

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

11604787296400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4177723426704 + 7427063869696 = 2043948^2 + 2725264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11604787296409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4837342401 + ... + 4837344799.

Almost surely, 2^{11604787296400} is an apocalyptic number.

11604787296400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11604787296400 is the 3406580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11604787296400

11604787296400 is an abundant number, since it is smaller than the sum of its proper divisors (16685720673993).

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

11604787296400 is an frugal number, since it uses more digits than its factorization.

11604787296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 11604787296400 in words is "eleven trillion, six hundred four billion, seven hundred eighty-seven million, two hundred ninety-six thousand, four hundred".