10633132980 has 96 divisors (see below), whose sum is σ = 33499737600. Its totient is φ = 2799598464.

The previous prime is 10633132973. The next prime is 10633132981. The reversal of 10633132980 is 8923133601.

10633132980 is a `hidden beast` number, since 1 + 0 + 633 + 13 + 2 + 9 + 8 + 0 = 666.

It is a super-3 number, since 3×10633132980³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10633132981) 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 31 ways as a sum of consecutive naturals, for example, 81967 + ... + 167286.

It is an arithmetic number, because the mean of its divisors is an integer number (348955600).

Almost surely, 2^10633132980 is an apocalyptic number.

10633132980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10633132980 is an abundant number, since it is smaller than the sum of its proper divisors (22866604620).

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

10633132980 is a wasteful number, since it uses less digits than its factorization.

10633132980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249350 (or 249342 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10633132980 in words is "ten billion, six hundred thirty-three million, one hundred thirty-two thousand, nine hundred eighty".