109683561953280 has 384 divisors, whose sum is σ = 404091928880640. Its totient is φ = 24879143976960.

The previous prime is 109683561953267. The next prime is 109683561953293. The reversal of 109683561953280 is 82359165386901.

It is an interprime number because it is at equal distance from previous prime (109683561953267) and next prime (109683561953293).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×109683561953280³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26223442 + ... + 30117038.

It is an arithmetic number, because the mean of its divisors is an integer number (1052322731460).

Almost surely, 2^{109683561953280} is an apocalyptic number.

109683561953280 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 109683561953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202045964440320).

109683561953280 is an abundant number, since it is smaller than the sum of its proper divisors (294408366927360).

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

109683561953280 is a wasteful number, since it uses less digits than its factorization.

109683561953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893765 (or 3893745 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 109683561953280 in words is "one hundred nine trillion, six hundred eighty-three billion, five hundred sixty-one million, nine hundred fifty-three thousand, two hundred eighty".