10736249610240 has 2688 divisors, whose sum is σ = 51759417415680. Its totient is φ = 1987470950400.

The previous prime is 10736249610211. The next prime is 10736249610271. The reversal of 10736249610240 is 4201694263701.

10736249610240 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 2 + 4 + 9 + 610 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-3 number, since 3×10736249610240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9168444855 + ... + 9168446025.

Almost surely, 2^{10736249610240} is an apocalyptic number.

10736249610240 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 10736249610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25879708707840).

10736249610240 is an abundant number, since it is smaller than the sum of its proper divisors (41023167805440).

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

10736249610240 is a wasteful number, since it uses less digits than its factorization.

10736249610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10736249610240 in words is "ten trillion, seven hundred thirty-six billion, two hundred forty-nine million, six hundred ten thousand, two hundred forty".