10380780720 has 320 divisors, whose sum is σ = 39854592000. Its totient is φ = 2468081664.

The previous prime is 10380780719. The next prime is 10380780721. The reversal of 10380780720 is 2708708301.

It is an interprime number because it is at equal distance from previous prime (10380780719) and next prime (10380780721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10380780721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690241 + ... + 705119.

It is an arithmetic number, because the mean of its divisors is an integer number (124545600).

Almost surely, 2^10380780720 is an apocalyptic number.

10380780720 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 10380780720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296000).

10380780720 is an abundant number, since it is smaller than the sum of its proper divisors (29473811280).

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

10380780720 is a wasteful number, since it uses less digits than its factorization.

10380780720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14937 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10380780720 in words is "ten billion, three hundred eighty million, seven hundred eighty thousand, seven hundred twenty".