10649363997600 has 432 divisors, whose sum is σ = 38966680535328. Its totient is φ = 2838114339840.

The previous prime is 10649363997577. The next prime is 10649363997607. The reversal of 10649363997600 is 679936394601.

10649363997600 is a `hidden beast` number, since 10 + 6 + 4 + 9 + 3 + 6 + 3 + 9 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10649363997600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10649363997607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 339601122 + ... + 339632478.

Almost surely, 2^{10649363997600} is an apocalyptic number.

10649363997600 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 10649363997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483340267664).

10649363997600 is an abundant number, since it is smaller than the sum of its proper divisors (28317316537728).

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

10649363997600 is a wasteful number, since it uses less digits than its factorization.

10649363997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33139 (or 33114 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 10649363997600 in words is "ten trillion, six hundred forty-nine billion, three hundred sixty-three million, nine hundred ninety-seven thousand, six hundred".