10317096487152 has 1440 divisors, whose sum is σ = 38924745799680. Its totient is φ = 2487961681920.

The previous prime is 10317096487097. The next prime is 10317096487171. The reversal of 10317096487152 is 25178469071301.

10317096487152 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 7 + 0 + 9 + 6 + 487 + 152 = 666.

It is a super-2 number, since 2×10317096487152² (a number of 27 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 31169475627 + ... + 31169475957.

It is an arithmetic number, because the mean of its divisors is an integer number (27031073472).

It is a 1-persistent number, because it is pandigital, but 2⋅10317096487152 = 20634192974304 is not.

Almost surely, 2^{10317096487152} is an apocalyptic number.

10317096487152 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 10317096487152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19462372899840).

10317096487152 is an abundant number, since it is smaller than the sum of its proper divisors (28607649312528).

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

10317096487152 is a wasteful number, since it uses less digits than its factorization.

10317096487152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10317096487152 in words is "ten trillion, three hundred seventeen billion, ninety-six million, four hundred eighty-seven thousand, one hundred fifty-two".