11728535414400 has 2880 divisors, whose sum is σ = 52502885136000. Its totient is φ = 2485373829120.

The previous prime is 11728535414389. The next prime is 11728535414411. The reversal of 11728535414400 is 441453582711.

11728535414400 is a `hidden beast` number, since 1 + 1 + 7 + 285 + 354 + 14 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11728535414389) and next prime (11728535414411).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 103792348744 + ... + 103792348856.

It is an arithmetic number, because the mean of its divisors is an integer number (18230168450).

Almost surely, 2^{11728535414400} is an apocalyptic number.

11728535414400 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 11728535414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26251442568000).

11728535414400 is an abundant number, since it is smaller than the sum of its proper divisors (40774349721600).

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

11728535414400 is a wasteful number, since it uses less digits than its factorization.

11728535414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 11728535414400 in words is "eleven trillion, seven hundred twenty-eight billion, five hundred thirty-five million, four hundred fourteen thousand, four hundred".