10436977080 has 96 divisors (see below), whose sum is σ = 35014412160. Its totient is φ = 2693410560.

The previous prime is 10436977043. The next prime is 10436977091. The reversal of 10436977080 is 8077963401.

10436977080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456447 + ... + 478766.

It is an arithmetic number, because the mean of its divisors is an integer number (364733460).

Almost surely, 2^10436977080 is an apocalyptic number.

10436977080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10436977080 is an abundant number, since it is smaller than the sum of its proper divisors (24577435080).

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

10436977080 is a wasteful number, since it uses less digits than its factorization.

10436977080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935261 (or 935254 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10436977080 in words is "ten billion, four hundred thirty-six million, nine hundred seventy-seven thousand, eighty".