109789837026480 has 640 divisors, whose sum is σ = 431685810339840. Its totient is φ = 25407452528640.

The previous prime is 109789837026469. The next prime is 109789837026503. The reversal of 109789837026480 is 84620738987901.

109789837026480 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 8 + 98 + 37 + 0 + 26 + 480 = 666.

It is a super-3 number, since 3×109789837026480³ (a number of 43 digits) contains 333 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 = 109789837026399 and 109789837026408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434748729 + ... + 435001191.

It is an arithmetic number, because the mean of its divisors is an integer number (674509078656).

Almost surely, 2^{109789837026480} is an apocalyptic number.

109789837026480 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 109789837026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215842905169920).

109789837026480 is an abundant number, since it is smaller than the sum of its proper divisors (321895973313360).

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

109789837026480 is a wasteful number, since it uses less digits than its factorization.

109789837026480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253426 (or 253414 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 109789837026480 in words is "one hundred nine trillion, seven hundred eighty-nine billion, eight hundred thirty-seven million, twenty-six thousand, four hundred eighty".