11389766400 has 540 divisors, whose sum is σ = 42690100992. Its totient is φ = 2995937280.

The previous prime is 11389766347. The next prime is 11389766407. The reversal of 11389766400 is 466798311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (11389766407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65836714 + ... + 65836886.

Almost surely, 2^11389766400 is an apocalyptic number.

11389766400 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 11389766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345050496).

11389766400 is an abundant number, since it is smaller than the sum of its proper divisors (31300334592).

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

11389766400 is a wasteful number, since it uses less digits than its factorization.

11389766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11389766400 in words is "eleven billion, three hundred eighty-nine million, seven hundred sixty-six thousand, four hundred".