10380265758720 has 3528 divisors, whose sum is σ = 47069553582828. Its totient is φ = 2186218045440.

The previous prime is 10380265758691. The next prime is 10380265758757. The reversal of 10380265758720 is 2785756208301.

10380265758720 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 2 + 6 + 57 + 587 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2142171795456 + 8238093963264 = 1463616^2 + 2870208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 610603868152 + ... + 610603868168.

Almost surely, 2^{10380265758720} is an apocalyptic number.

10380265758720 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 10380265758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23534776791414).

10380265758720 is an abundant number, since it is smaller than the sum of its proper divisors (36689287824108).

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

10380265758720 is an equidigital number, since it uses as much as digits as its factorization.

10380265758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 10380265758720 in words is "ten trillion, three hundred eighty billion, two hundred sixty-five million, seven hundred fifty-eight thousand, seven hundred twenty".