11660312678400 has 351 divisors, whose sum is σ = 41776477200211. Its totient is φ = 3108542545920.

The previous prime is 11660312678393. The next prime is 11660312678401. The reversal of 11660312678400 is 487621306611.

The square root of 11660312678400 is 3414720.

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

11660312678400 is a `hidden beast` number, since 1 + 16 + 603 + 1 + 26 + 7 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3392433524736 + 8267879153664 = 1841856^2 + 2875392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11660312678401) 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, 3278129422 + ... + 3278132978.

Almost surely, 2^{11660312678400} is an apocalyptic number.

11660312678400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11660312678400 is the 3414720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11660312678400

11660312678400 is an abundant number, since it is smaller than the sum of its proper divisors (30116164521811).

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

11660312678400 is an frugal number, since it uses more digits than its factorization.

11660312678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11660312678400 in words is "eleven trillion, six hundred sixty billion, three hundred twelve million, six hundred seventy-eight thousand, four hundred".