10936735828557 has 48 divisors (see below), whose sum is σ = 18320730422400. Its totient is φ = 5680660993920.

The previous prime is 10936735828523. The next prime is 10936735828561. The reversal of 10936735828557 is 75582853763901.

It is not a de Polignac number, because 10936735828557 - 2⁷ = 10936735828429 is a prime.

It is a super-2 number, since 2×10936735828557² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10936735828491 and 10936735828500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10936735828597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18958819 + ... + 19527167.

It is an arithmetic number, because the mean of its divisors is an integer number (381681883800).

Almost surely, 2^{10936735828557} is an apocalyptic number.

It is an amenable number.

10936735828557 is a deficient number, since it is larger than the sum of its proper divisors (7383994593843).

10936735828557 is a wasteful number, since it uses less digits than its factorization.

10936735828557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575954 (or 575943 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 69.

The spelling of 10936735828557 in words is "ten trillion, nine hundred thirty-six billion, seven hundred thirty-five million, eight hundred twenty-eight thousand, five hundred fifty-seven".