10677515742 has 160 divisors (see below), whose sum is σ = 25508736000. Its totient is φ = 3346424928.

The previous prime is 10677515741. The next prime is 10677515753. The reversal of 10677515742 is 24751577601.

10677515742 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 75 + 1 + 574 + 2 = 666.

It is a super-2 number, since 2×10677515742² (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 (10677515741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53655759 + ... + 53655957.

It is an arithmetic number, because the mean of its divisors is an integer number (159429600).

Almost surely, 2^10677515742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10677515742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754368000).

10677515742 is an abundant number, since it is smaller than the sum of its proper divisors (14831220258).

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

10677515742 is an frugal number, since it uses more digits than its factorization.

10677515742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 10677515742 in words is "ten billion, six hundred seventy-seven million, five hundred fifteen thousand, seven hundred forty-two".