10553980635936 has 288 divisors, whose sum is σ = 32237264037888. Its totient is φ = 3269197301760.

The previous prime is 10553980635901. The next prime is 10553980635937. The reversal of 10553980635936 is 63953608935501.

10553980635936 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 39 + 8 + 0 + 6 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10553980635936² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10553980635937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22002370 + ... + 22476926.

It is an arithmetic number, because the mean of its divisors is an integer number (111934944576).

Almost surely, 2^{10553980635936} is an apocalyptic number.

10553980635936 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 10553980635936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118632018944).

10553980635936 is an abundant number, since it is smaller than the sum of its proper divisors (21683283401952).

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

10553980635936 is a wasteful number, since it uses less digits than its factorization.

10553980635936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474704 (or 474693 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 10553980635936 in words is "ten trillion, five hundred fifty-three billion, nine hundred eighty million, six hundred thirty-five thousand, nine hundred thirty-six".