10407272011752 has 256 divisors, whose sum is σ = 33943353016320. Its totient is φ = 2580151449600.

The previous prime is 10407272011723. The next prime is 10407272011757. The reversal of 10407272011752 is 25711027270401.

It is a happy number.

It is a super-2 number, since 2×10407272011752² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10407272011752.

It is not an unprimeable number, because it can be changed into a prime (10407272011757) 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, 2937738 + ... + 5426310.

It is an arithmetic number, because the mean of its divisors is an integer number (132591222720).

Almost surely, 2^{10407272011752} is an apocalyptic number.

10407272011752 is a gapful number since it is divisible by the number (12) 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 10407272011752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971676508160).

10407272011752 is an abundant number, since it is smaller than the sum of its proper divisors (23536081004568).

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

10407272011752 is a wasteful number, since it uses less digits than its factorization.

10407272011752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488704 (or 2488700 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The spelling of 10407272011752 in words is "ten trillion, four hundred seven billion, two hundred seventy-two million, eleven thousand, seven hundred fifty-two".