10505012717400 has 96 divisors (see below), whose sum is σ = 33011642841360. Its totient is φ = 2762962237440.

The previous prime is 10505012717399. The next prime is 10505012717429. The reversal of 10505012717400 is 471721050501.

10505012717400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505012717400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119876437 + ... + 119964036.

Almost surely, 2^{10505012717400} is an apocalyptic number.

10505012717400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505012717400 is an abundant number, since it is smaller than the sum of its proper divisors (22506630123960).

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

10505012717400 is a wasteful number, since it uses less digits than its factorization.

10505012717400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239840565 (or 239840556 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

Adding to 10505012717400 its reverse (471721050501), we get a palindrome (10976733767901).

The spelling of 10505012717400 in words is "ten trillion, five hundred five billion, twelve million, seven hundred seventeen thousand, four hundred".