10380793440576 has 224 divisors, whose sum is σ = 31146600038400. Its totient is φ = 3024889436160.

The previous prime is 10380793440569. The next prime is 10380793440581. The reversal of 10380793440576 is 67504439708301.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136495681 + ... + 136571711.

It is an arithmetic number, because the mean of its divisors is an integer number (139047321600).

Almost surely, 2^{10380793440576} is an apocalyptic number.

10380793440576 is a gapful number since it is divisible by the number (16) 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 10380793440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573300019200).

10380793440576 is an abundant number, since it is smaller than the sum of its proper divisors (20765806597824).

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

10380793440576 is a wasteful number, since it uses less digits than its factorization.

10380793440576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78957 (or 78947 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 10380793440576 in words is "ten trillion, three hundred eighty billion, seven hundred ninety-three million, four hundred forty thousand, five hundred seventy-six".