10451381760 has 240 divisors, whose sum is σ = 36711623520. Its totient is φ = 2747351040.

The previous prime is 10451381753. The next prime is 10451381767. The reversal of 10451381760 is 6718315401.

10451381760 is a `hidden beast` number, since 1 + 0 + 4 + 513 + 81 + 7 + 60 = 666.

10451381760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10451381753) and next prime (10451381767).

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 not an unprimeable number, because it can be changed into a prime (10451381767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1632646 + ... + 1639034.

It is an arithmetic number, because the mean of its divisors is an integer number (152965098).

Almost surely, 2^10451381760 is an apocalyptic number.

10451381760 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 10451381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355811760).

10451381760 is an abundant number, since it is smaller than the sum of its proper divisors (26260241760).

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

10451381760 is an equidigital number, since it uses as much as digits as its factorization.

10451381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10451381760 in words is "ten billion, four hundred fifty-one million, three hundred eighty-one thousand, seven hundred sixty".