10765345500 has 960 divisors, whose sum is σ = 45461864448. Its totient is φ = 2155507200.

The previous prime is 10765345483. The next prime is 10765345501. The reversal of 10765345500 is 554356701.

10765345500 is a `hidden beast` number, since 1 + 0 + 76 + 5 + 34 + 550 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10765345501) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 84766437 + ... + 84766563.

Almost surely, 2^10765345500 is an apocalyptic number.

10765345500 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 10765345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22730932224).

10765345500 is an abundant number, since it is smaller than the sum of its proper divisors (34696518948).

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

10765345500 is a wasteful number, since it uses less digits than its factorization.

10765345500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 10765345500 in words is "ten billion, seven hundred sixty-five million, three hundred forty-five thousand, five hundred".