10765977600 has 1152 divisors, whose sum is σ = 46797004800. Its totient is φ = 2123366400.

The previous prime is 10765977589. The next prime is 10765977641. The reversal of 10765977600 is 677956701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10765977600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347289585 + ... + 347289615.

It is an arithmetic number, because the mean of its divisors is an integer number (40622400).

Almost surely, 2^10765977600 is an apocalyptic number.

10765977600 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 10765977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398502400).

10765977600 is an abundant number, since it is smaller than the sum of its proper divisors (36031027200).

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

10765977600 is a wasteful number, since it uses less digits than its factorization.

10765977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 48.

The spelling of 10765977600 in words is "ten billion, seven hundred sixty-five million, nine hundred seventy-seven thousand, six hundred".