10553113460736 has 1620 divisors, whose sum is σ = 40603344438384. Its totient is φ = 2611445760000.

The previous prime is 10553113460723. The next prime is 10553113460761. The reversal of 10553113460736 is 63706431135501.

10553113460736 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 1 + 1 + 3 + 4 + 607 + 36 = 666.

It is a super-2 number, since 2×10553113460736² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10553113460691 and 10553113460700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 42044276611 + ... + 42044276861.

Almost surely, 2^{10553113460736} is an apocalyptic number.

10553113460736 is a gapful number since it is divisible by the number (16) 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 10553113460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301672219192).

10553113460736 is an abundant number, since it is smaller than the sum of its proper divisors (30050230977648).

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

10553113460736 is a wasteful number, since it uses less digits than its factorization.

10553113460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 10553113460736 in words is "ten trillion, five hundred fifty-three billion, one hundred thirteen million, four hundred sixty thousand, seven hundred thirty-six".