11312640000 has 390 divisors, whose sum is σ = 40916305716. Its totient is φ = 3010560000.

The previous prime is 11312639971. The next prime is 11312640023. The reversal of 11312640000 is 4621311.

It is a happy number.

11312640000 is a `hidden beast` number, since 1 + 13 + 12 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23039755 + ... + 23040245.

Almost surely, 2^11312640000 is an apocalyptic number.

11312640000 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 11312640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458152858).

11312640000 is an abundant number, since it is smaller than the sum of its proper divisors (29603665716).

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

11312640000 is an frugal number, since it uses more digits than its factorization.

11312640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 11312640000 in words is "eleven billion, three hundred twelve million, six hundred forty thousand".