10577262540 has 96 divisors (see below), whose sum is σ = 33281289216. Its totient is φ = 2490428160.

The previous prime is 10577262499. The next prime is 10577262541. The reversal of 10577262540 is 4526277501.

It is a super-2 number, since 2×10577262540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10577262541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276856 + ... + 312735.

It is an arithmetic number, because the mean of its divisors is an integer number (346680096).

Almost surely, 2^10577262540 is an apocalyptic number.

10577262540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10577262540 is an abundant number, since it is smaller than the sum of its proper divisors (22704026676).

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

10577262540 is a wasteful number, since it uses less digits than its factorization.

10577262540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589639 (or 589637 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 10577262540 in words is "ten billion, five hundred seventy-seven million, two hundred sixty-two thousand, five hundred forty".