11401535200 has 432 divisors, whose sum is σ = 33252027984. Its totient is φ = 3782246400.

The previous prime is 11401535191. The next prime is 11401535203. The reversal of 11401535200 is 253510411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401535203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117541552 + ... + 117541648.

It is an arithmetic number, because the mean of its divisors is an integer number (76972287).

Almost surely, 2^11401535200 is an apocalyptic number.

11401535200 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 11401535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626013992).

11401535200 is an abundant number, since it is smaller than the sum of its proper divisors (21850492784).

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

11401535200 is a wasteful number, since it uses less digits than its factorization.

11401535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 11401535200 in words is "eleven billion, four hundred one million, five hundred thirty-five thousand, two hundred".