2113368485760 has 2560 divisors, whose sum is σ = 9684153262080. Its totient is φ = 428070666240.

The previous prime is 2113368485731. The next prime is 2113368485773. The reversal of 2113368485760 is 675848633112.

2113368485760 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 68 + 4 + 8 + 576 + 0 = 666.

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 = 2113368485697 and 2113368485706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8223223552 + ... + 8223223808.

It is an arithmetic number, because the mean of its divisors is an integer number (3782872368).

Almost surely, 2^{2113368485760} is an apocalyptic number.

2113368485760 is a gapful number since it is divisible by the number (20) 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 2113368485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842076631040).

2113368485760 is an abundant number, since it is smaller than the sum of its proper divisors (7570784776320).

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

2113368485760 is a wasteful number, since it uses less digits than its factorization.

2113368485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2113368485760 in words is "two trillion, one hundred thirteen billion, three hundred sixty-eight million, four hundred eighty-five thousand, seven hundred sixty".