10455233760 has 240 divisors, whose sum is σ = 37047780000. Its totient is φ = 2776771584.

The previous prime is 10455233731. The next prime is 10455233771. The reversal of 10455233760 is 6733255401.

10455233760 is a `hidden beast` number, since 1 + 0 + 4 + 552 + 33 + 76 + 0 = 666.

10455233760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 3484741 + ... + 3487739.

It is an arithmetic number, because the mean of its divisors is an integer number (154365750).

Almost surely, 2^10455233760 is an apocalyptic number.

10455233760 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 10455233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523890000).

10455233760 is an abundant number, since it is smaller than the sum of its proper divisors (26592546240).

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

10455233760 is a wasteful number, since it uses less digits than its factorization.

10455233760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10455233760 in words is "ten billion, four hundred fifty-five million, two hundred thirty-three thousand, seven hundred sixty".