10577527540 has 48 divisors (see below), whose sum is σ = 22333992912. Its totient is φ = 4207988736.

The previous prime is 10577527507. The next prime is 10577527547. The reversal of 10577527540 is 4572577501.

10577527540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3746174436 + 6831353104 = 61206^2 + 82652^2 .

It is a super-2 number, since 2×10577527540² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577527547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3727002 + ... + 3729838.

It is an arithmetic number, because the mean of its divisors is an integer number (465291519).

Almost surely, 2^10577527540 is an apocalyptic number.

10577527540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10577527540 is an abundant number, since it is smaller than the sum of its proper divisors (11756465372).

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

10577527540 is a wasteful number, since it uses less digits than its factorization.

10577527540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 43.

The spelling of 10577527540 in words is "ten billion, five hundred seventy-seven million, five hundred twenty-seven thousand, five hundred forty".