10989376634880 has 2128 divisors, whose sum is σ = 47530701794304. Its totient is φ = 2384965140480.

The previous prime is 10989376634869. The next prime is 10989376634891. The reversal of 10989376634880 is 8843667398901.

10989376634880 is a `hidden beast` number, since 1 + 0 + 9 + 89 + 3 + 7 + 6 + 63 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10989376634869) and next prime (10989376634891).

It is a super-2 number, since 2×10989376634880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10989376634799 and 10989376634808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 207346728934 + ... + 207346728986.

Almost surely, 2^{10989376634880} is an apocalyptic number.

10989376634880 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 10989376634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23765350897152).

10989376634880 is an abundant number, since it is smaller than the sum of its proper divisors (36541325159424).

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

10989376634880 is an frugal number, since it uses more digits than its factorization.

10989376634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 10989376634880 in words is "ten trillion, nine hundred eighty-nine billion, three hundred seventy-six million, six hundred thirty-four thousand, eight hundred eighty".