11993270400 has 384 divisors, whose sum is σ = 44278118400. Its totient is φ = 3170119680.

The previous prime is 11993270369. The next prime is 11993270407. The reversal of 11993270400 is 407239911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11993270407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10972254 + ... + 10973346.

It is an arithmetic number, because the mean of its divisors is an integer number (115307600).

Almost surely, 2^11993270400 is an apocalyptic number.

11993270400 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 11993270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22139059200).

11993270400 is an abundant number, since it is smaller than the sum of its proper divisors (32284848000).

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

11993270400 is a wasteful number, since it uses less digits than its factorization.

11993270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 11993270400 in words is "eleven billion, nine hundred ninety-three million, two hundred seventy thousand, four hundred".