11205376000 has 576 divisors, whose sum is σ = 35538834240. Its totient is φ = 3450470400.

The previous prime is 11205375997. The next prime is 11205376009. The reversal of 11205376000 is 67350211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205376009) 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, 302847982 + ... + 302848018.

It is an arithmetic number, because the mean of its divisors is an integer number (61699365).

Almost surely, 2^11205376000 is an apocalyptic number.

11205376000 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 11205376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769417120).

11205376000 is an abundant number, since it is smaller than the sum of its proper divisors (24333458240).

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

11205376000 is an equidigital number, since it uses as much as digits as its factorization.

11205376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 11205376000 in words is "eleven billion, two hundred five million, three hundred seventy-six thousand".