10036605807600 has 240 divisors, whose sum is σ = 32942206397184. Its totient is φ = 2610558720000.

The previous prime is 10036605807497. The next prime is 10036605807617. The reversal of 10036605807600 is 670850663001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10036605807600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243568599 + ... + 243609801.

Almost surely, 2^{10036605807600} is an apocalyptic number.

10036605807600 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 10036605807600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16471103198592).

10036605807600 is an abundant number, since it is smaller than the sum of its proper divisors (22905600589584).

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

10036605807600 is a wasteful number, since it uses less digits than its factorization.

10036605807600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46216 (or 46205 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10036605807600 in words is "ten trillion, thirty-six billion, six hundred five million, eight hundred seven thousand, six hundred".