11487950400 has 168 divisors, whose sum is σ = 37748585920. Its totient is φ = 3058698240.

The previous prime is 11487950399. The next prime is 11487950401. The reversal of 11487950400 is 405978411.

It is an interprime number because it is at equal distance from previous prime (11487950399) and next prime (11487950401).

It is not an unprimeable number, because it can be changed into a prime (11487950401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3977757 + ... + 3980643.

Almost surely, 2^11487950400 is an apocalyptic number.

11487950400 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 11487950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874292960).

11487950400 is an abundant number, since it is smaller than the sum of its proper divisors (26260635520).

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

11487950400 is a wasteful number, since it uses less digits than its factorization.

11487950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 11487950400 in words is "eleven billion, four hundred eighty-seven million, nine hundred fifty thousand, four hundred".