10265778600 has 384 divisors, whose sum is σ = 41405921280. Its totient is φ = 2040192000.

The previous prime is 10265778599. The next prime is 10265778613. The reversal of 10265778600 is 687756201.

10265778600 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 (42).

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 95 ways as a sum of consecutive naturals, for example, 1057770 + ... + 1067430.

It is an arithmetic number, because the mean of its divisors is an integer number (107827920).

Almost surely, 2^10265778600 is an apocalyptic number.

10265778600 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 10265778600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20702960640).

10265778600 is an abundant number, since it is smaller than the sum of its proper divisors (31140142680).

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

10265778600 is a wasteful number, since it uses less digits than its factorization.

10265778600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9712 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10265778600 in words is "ten billion, two hundred sixty-five million, seven hundred seventy-eight thousand, six hundred".