109897623360000 has 3600 divisors, whose sum is σ = 514072864150560. Its totient is φ = 22388244480000.

The previous prime is 109897623359969. The next prime is 109897623360001. The reversal of 109897623360000 is 63326798901.

109897623360000 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 9 + 7 + 6 + 23 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is not an unprimeable number, because it can be changed into a prime (109897623360001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 45581758795 + ... + 45581761205.

Almost surely, 2^{109897623360000} is an apocalyptic number.

109897623360000 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 109897623360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257036432075280).

109897623360000 is an abundant number, since it is smaller than the sum of its proper divisors (404175240790560).

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

109897623360000 is a wasteful number, since it uses less digits than its factorization.

109897623360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 109897623360000 in words is "one hundred nine trillion, eight hundred ninety-seven billion, six hundred twenty-three million, three hundred sixty thousand".