10535516700407 has 16 divisors (see below), whose sum is σ = 10746876413952. Its totient is φ = 10326313155840.

The previous prime is 10535516700383. The next prime is 10535516700433. The reversal of 10535516700407 is 70400761553501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10535516700407 - 2¹⁴ = 10535516684023 is a prime.

It is a super-2 number, since 2×10535516700407² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535516700497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34336682 + ... + 34642152.

It is an arithmetic number, because the mean of its divisors is an integer number (671679775872).

Almost surely, 2^{10535516700407} is an apocalyptic number.

10535516700407 is a deficient number, since it is larger than the sum of its proper divisors (211359713545).

10535516700407 is a wasteful number, since it uses less digits than its factorization.

10535516700407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308998.

The product of its (nonzero) digits is 441000, while the sum is 44.

The spelling of 10535516700407 in words is "ten trillion, five hundred thirty-five billion, five hundred sixteen million, seven hundred thousand, four hundred seven".