10765661400 has 960 divisors, whose sum is σ = 44464654080. Its totient is φ = 2388787200.

The previous prime is 10765661393. The next prime is 10765661443. The reversal of 10765661400 is 416656701.

10765661400 is a `hidden beast` number, since 10 + 76 + 566 + 14 + 0 + 0 = 666.

10765661400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 110986152 + ... + 110986248.

It is an arithmetic number, because the mean of its divisors is an integer number (46317348).

Almost surely, 2^10765661400 is an apocalyptic number.

10765661400 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 10765661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22232327040).

10765661400 is an abundant number, since it is smaller than the sum of its proper divisors (33698992680).

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

10765661400 is a wasteful number, since it uses less digits than its factorization.

10765661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10765661400 in words is "ten billion, seven hundred sixty-five million, six hundred sixty-one thousand, four hundred".