11300047318620 has 336 divisors, whose sum is σ = 36112634308800. Its totient is φ = 2968441344000.

The previous prime is 11300047318607. The next prime is 11300047318633. The reversal of 11300047318620 is 2681374000311.

It is a happy number.

11300047318620 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 0 + 473 + 186 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11300047318607) and next prime (11300047318633).

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 111 ways as a sum of consecutive naturals, for example, 293024140 + ... + 293062700.

It is an arithmetic number, because the mean of its divisors is an integer number (107478078300).

Almost surely, 2^{11300047318620} is an apocalyptic number.

11300047318620 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 11300047318620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056317154400).

11300047318620 is an abundant number, since it is smaller than the sum of its proper divisors (24812586990180).

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

11300047318620 is a wasteful number, since it uses less digits than its factorization.

11300047318620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38888 (or 38871 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11300047318620 in words is "eleven trillion, three hundred billion, forty-seven million, three hundred eighteen thousand, six hundred twenty".