11312101785600 has 3264 divisors, whose sum is σ = 53735670696960. Its totient is φ = 2293235712000.

The previous prime is 11312101785577. The next prime is 11312101785613. The reversal of 11312101785600 is 658710121311.

It is a happy number.

11312101785600 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 21 + 0 + 1 + 78 + 560 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 275904921580 + ... + 275904921620.

Almost surely, 2^{11312101785600} is an apocalyptic number.

11312101785600 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 11312101785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867835348480).

11312101785600 is an abundant number, since it is smaller than the sum of its proper divisors (42423568911360).

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

11312101785600 is an frugal number, since it uses more digits than its factorization.

11312101785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11312101785600 in words is "eleven trillion, three hundred twelve billion, one hundred one million, seven hundred eighty-five thousand, six hundred".