11434953600 has 1152 divisors, whose sum is σ = 50681800800. Its totient is φ = 2508226560.

The previous prime is 11434953599. The next prime is 11434953641. The reversal of 11434953600 is 635943411.

11434953600 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 49 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156643164 + ... + 156643236.

Almost surely, 2^11434953600 is an apocalyptic number.

11434953600 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 11434953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25340900400).

11434953600 is an abundant number, since it is smaller than the sum of its proper divisors (39246847200).

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

11434953600 is a wasteful number, since it uses less digits than its factorization.

11434953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11434953600 in words is "eleven billion, four hundred thirty-four million, nine hundred fifty-three thousand, six hundred".