10380319267824 has 240 divisors, whose sum is σ = 31965766560000. Its totient is φ = 3144328302720.

The previous prime is 10380319267811. The next prime is 10380319267883. The reversal of 10380319267824 is 42876291308301.

It is a happy number.

10380319267824 is a `hidden beast` number, since 1 + 0 + 380 + 3 + 192 + 6 + 78 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574791307 + ... + 574809365.

It is an arithmetic number, because the mean of its divisors is an integer number (133190694000).

Almost surely, 2^{10380319267824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10380319267824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982883280000).

10380319267824 is an abundant number, since it is smaller than the sum of its proper divisors (21585447292176).

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

10380319267824 is a wasteful number, since it uses less digits than its factorization.

10380319267824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21105 (or 21074 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10380319267824 in words is "ten trillion, three hundred eighty billion, three hundred nineteen million, two hundred sixty-seven thousand, eight hundred twenty-four".