10455735150 has 720 divisors, whose sum is σ = 36945849600. Its totient is φ = 2178368640.

The previous prime is 10455735119. The next prime is 10455735151. The reversal of 10455735150 is 5153755401.

It is a happy number.

10455735150 is a `hidden beast` number, since 1 + 0 + 4 + 557 + 3 + 51 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10455735151) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 177215821 + ... + 177215879.

It is an arithmetic number, because the mean of its divisors is an integer number (51313680).

Almost surely, 2^10455735150 is an apocalyptic number.

10455735150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455735150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472924800).

10455735150 is an abundant number, since it is smaller than the sum of its proper divisors (26490114450).

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

10455735150 is a wasteful number, since it uses less digits than its factorization.

10455735150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 10455735150 in words is "ten billion, four hundred fifty-five million, seven hundred thirty-five thousand, one hundred fifty".