10536374518560 has 1008 divisors, whose sum is σ = 42133284616248. Its totient is φ = 2485115043840.

The previous prime is 10536374518547. The next prime is 10536374518561. The reversal of 10536374518560 is 6581547363501.

10536374518560 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 3 + 74 + 5 + 1 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10342115719056 + 194258799504 = 3215916^2 + 440748^2 .

It is a super-2 number, since 2×10536374518560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10536374518497 and 10536374518506.

It is not an unprimeable number, because it can be changed into a prime (10536374518561) 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 167 ways as a sum of consecutive naturals, for example, 522187192 + ... + 522207368.

Almost surely, 2^{10536374518560} is an apocalyptic number.

10536374518560 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 10536374518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21066642308124).

10536374518560 is an abundant number, since it is smaller than the sum of its proper divisors (31596910097688).

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

10536374518560 is a wasteful number, since it uses less digits than its factorization.

10536374518560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20269 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 10536374518560 in words is "ten trillion, five hundred thirty-six billion, three hundred seventy-four million, five hundred eighteen thousand, five hundred sixty".