11374585600 has 648 divisors, whose sum is σ = 36406419840. Its totient is φ = 3491389440.

The previous prime is 11374585591. The next prime is 11374585603. The reversal of 11374585600 is 658547311.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11374585603) 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, 137043159 + ... + 137043241.

Almost surely, 2^11374585600 is an apocalyptic number.

11374585600 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 11374585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203209920).

11374585600 is an abundant number, since it is smaller than the sum of its proper divisors (25031834240).

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

11374585600 is a wasteful number, since it uses less digits than its factorization.

11374585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 11374585600 in words is "eleven billion, three hundred seventy-four million, five hundred eighty-five thousand, six hundred".