109935372960 has 1152 divisors, whose sum is σ = 469116748800. Its totient is φ = 23952015360.

The previous prime is 109935372917. The next prime is 109935372973. The reversal of 109935372960 is 69273539901.

It is a happy number.

109935372960 is a `hidden beast` number, since 10 + 9 + 9 + 3 + 537 + 2 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109935372897 and 109935372906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459980521 + ... + 459980759.

It is an arithmetic number, because the mean of its divisors is an integer number (407219400).

Almost surely, 2^109935372960 is an apocalyptic number.

109935372960 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 109935372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234558374400).

109935372960 is an abundant number, since it is smaller than the sum of its proper divisors (359181375840).

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

109935372960 is a wasteful number, since it uses less digits than its factorization.

109935372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 109935372960 in words is "one hundred nine billion, nine hundred thirty-five million, three hundred seventy-two thousand, nine hundred sixty".