10677542120 has 64 divisors (see below), whose sum is σ = 27511920000. Its totient is φ = 3653487360.

The previous prime is 10677542077. The next prime is 10677542129. The reversal of 10677542120 is 2124577601.

It is a super-2 number, since 2×10677542120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (10677542129) 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 15 ways as a sum of consecutive naturals, for example, 101510 + ... + 177930.

It is an arithmetic number, because the mean of its divisors is an integer number (429873750).

Almost surely, 2^10677542120 is an apocalyptic number.

10677542120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10677542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755960000).

10677542120 is an abundant number, since it is smaller than the sum of its proper divisors (16834377880).

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

10677542120 is a wasteful number, since it uses less digits than its factorization.

10677542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76938 (or 76934 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 10677542120 in words is "ten billion, six hundred seventy-seven million, five hundred forty-two thousand, one hundred twenty".