10388373675552 has 144 divisors (see below), whose sum is σ = 31140462618720. Its totient is φ = 3369201889536.

The previous prime is 10388373675551. The next prime is 10388373675583. The reversal of 10388373675552 is 25557637388301.

10388373675552 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 8 + 3 + 7 + 3 + 6 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×10388373675552⁴ (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10388373675552.

It is not an unprimeable number, because it can be changed into a prime (10388373675551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3208558 + ... + 5574189.

It is an arithmetic number, because the mean of its divisors is an integer number (216253212630).

Almost surely, 2^{10388373675552} is an apocalyptic number.

10388373675552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10388373675552 is an abundant number, since it is smaller than the sum of its proper divisors (20752088943168).

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

10388373675552 is an equidigital number, since it uses as much as digits as its factorization.

10388373675552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782840 (or 8782789 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 10388373675552 in words is "ten trillion, three hundred eighty-eight billion, three hundred seventy-three million, six hundred seventy-five thousand, five hundred fifty-two".