10633971382272 has 1296 divisors, whose sum is σ = 38369706298560. Its totient is φ = 2934625075200.

The previous prime is 10633971382271. The next prime is 10633971382283. The reversal of 10633971382272 is 27228317933601.

It is a happy number.

10633971382272 is a `hidden beast` number, since 1 + 0 + 6 + 339 + 7 + 1 + 38 + 2 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×10633971382272² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10633971382271) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20410693372 + ... + 20410693892.

It is an arithmetic number, because the mean of its divisors is an integer number (29606254860).

Almost surely, 2^{10633971382272} is an apocalyptic number.

10633971382272 is a gapful number since it is divisible by the number (12) 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 10633971382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184853149280).

10633971382272 is an abundant number, since it is smaller than the sum of its proper divisors (27735734916288).

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

10633971382272 is an frugal number, since it uses more digits than its factorization.

10633971382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10633971382272 in words is "ten trillion, six hundred thirty-three billion, nine hundred seventy-one million, three hundred eighty-two thousand, two hundred seventy-two".