10517301247400 has 48 divisors (see below), whose sum is σ = 24484523840700. Its totient is φ = 4201449799680.

The previous prime is 10517301247393. The next prime is 10517301247421. The reversal of 10517301247400 is 474210371501.

It can be written as a sum of positive squares in 6 ways, for example, as 533609796196 + 9983691451204 = 730486^2 + 3159698^2 .

It is a super-2 number, since 2×10517301247400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34037687 + ... + 34345286.

Almost surely, 2^{10517301247400} is an apocalyptic number.

10517301247400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10517301247400 is an abundant number, since it is smaller than the sum of its proper divisors (13967222593300).

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

10517301247400 is a wasteful number, since it uses less digits than its factorization.

10517301247400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68383758 (or 68383749 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 10517301247400 in words is "ten trillion, five hundred seventeen billion, three hundred one million, two hundred forty-seven thousand, four hundred".