11513075400 has 384 divisors, whose sum is σ = 42153552000. Its totient is φ = 2882718720.

The previous prime is 11513075369. The next prime is 11513075407. The reversal of 11513075400 is 457031511.

11513075400 is a `hidden beast` number, since 115 + 1 + 3 + 0 + 7 + 540 + 0 = 666.

It is a Cunningham number, because it is equal to 107299²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11513075407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5793207 + ... + 5795193.

It is an arithmetic number, because the mean of its divisors is an integer number (109774875).

Almost surely, 2^11513075400 is an apocalyptic number.

11513075400 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 11513075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21076776000).

11513075400 is an abundant number, since it is smaller than the sum of its proper divisors (30640476600).

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

11513075400 is a wasteful number, since it uses less digits than its factorization.

11513075400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 11513075400 in words is "eleven billion, five hundred thirteen million, seventy-five thousand, four hundred".