11200486379760 has 160 divisors (see below), whose sum is σ = 38718731158080. Its totient is φ = 2976013550592.

The previous prime is 11200486379723. The next prime is 11200486379773. The reversal of 11200486379760 is 6797368400211.

11200486379760 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 486 + 3 + 79 + 76 + 0 = 666.

It is a super-3 number, since 3×11200486379760³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11200486379697 and 11200486379706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8761627 + ... + 9958266.

It is an arithmetic number, because the mean of its divisors is an integer number (241992069738).

Almost surely, 2^{11200486379760} is an apocalyptic number.

11200486379760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200486379760 is an abundant number, since it is smaller than the sum of its proper divisors (27518244778320).

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

11200486379760 is a wasteful number, since it uses less digits than its factorization.

11200486379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18720192 (or 18720180 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 11200486379760 in words is "eleven trillion, two hundred billion, four hundred eighty-six million, three hundred seventy-nine thousand, seven hundred sixty".