10989094072320 has 2496 divisors, whose sum is σ = 49110017264640. Its totient is φ = 2282279141376.

The previous prime is 10989094072283. The next prime is 10989094072321. The reversal of 10989094072320 is 2327049098901.

10989094072320 is a `hidden beast` number, since 109 + 8 + 90 + 9 + 407 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×10989094072320² (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 (10989094072321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69994229682 + ... + 69994229838.

Almost surely, 2^{10989094072320} is an apocalyptic number.

10989094072320 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 10989094072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555008632320).

10989094072320 is an abundant number, since it is smaller than the sum of its proper divisors (38120923192320).

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

10989094072320 is a wasteful number, since it uses less digits than its factorization.

10989094072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10989094072320 in words is "ten trillion, nine hundred eighty-nine billion, ninety-four million, seventy-two thousand, three hundred twenty".