10395751921920 has 720 divisors, whose sum is σ = 38687963381760. Its totient is φ = 2663055802368.

The previous prime is 10395751921913. The next prime is 10395751921927. The reversal of 10395751921920 is 2912915759301.

It is a happy number.

10395751921920 is a `hidden beast` number, since 1 + 0 + 3 + 95 + 7 + 519 + 2 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10395751921913) and next prime (10395751921927).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×10395751921920³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10395751921927) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 303039489 + ... + 303073791.

Almost surely, 2^{10395751921920} is an apocalyptic number.

10395751921920 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 10395751921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343981690880).

10395751921920 is an abundant number, since it is smaller than the sum of its proper divisors (28292211459840).

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

10395751921920 is an equidigital number, since it uses as much as digits as its factorization.

10395751921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34452 (or 34429 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 10395751921920 in words is "ten trillion, three hundred ninety-five billion, seven hundred fifty-one million, nine hundred twenty-one thousand, nine hundred twenty".