10136340472680 has 192 divisors, whose sum is σ = 33076345582800. Its totient is φ = 2692108984320.

The previous prime is 10136340472631. The next prime is 10136340472681. The reversal of 10136340472680 is 8627404363101.

10136340472680 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 340 + 47 + 268 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6285460154724 + 3850880317956 = 2507082^2 + 1962366^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10136340472681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114117726 + ... + 114206514.

Almost surely, 2^{10136340472680} is an apocalyptic number.

10136340472680 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 10136340472680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538172791400).

10136340472680 is an abundant number, since it is smaller than the sum of its proper divisors (22940005110120).

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

10136340472680 is a wasteful number, since it uses less digits than its factorization.

10136340472680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90084 (or 90077 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10136340472680 in words is "ten trillion, one hundred thirty-six billion, three hundred forty million, four hundred seventy-two thousand, six hundred eighty".