109586090557440 has 924 divisors, whose sum is σ = 450662328382224. Its totient is φ = 25048249270272.

The previous prime is 109586090557421. The next prime is 109586090557453. The reversal of 109586090557440 is 44755090685901.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ (2!)¹⁹.

109586090557440 is a `hidden beast` number, since 1 + 0 + 9 + 58 + 6 + 0 + 9 + 0 + 5 + 574 + 4 + 0 = 666.

It is a super-5 number, since 5×109586090557440⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15655155793917 + ... + 15655155793923.

Almost surely, 2^{109586090557440} is an apocalyptic number.

109586090557440 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 109586090557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225331164191112).

109586090557440 is an abundant number, since it is smaller than the sum of its proper divisors (341076237824784).

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

109586090557440 is an frugal number, since it uses more digits than its factorization.

109586090557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 109586090557440 in words is "one hundred nine trillion, five hundred eighty-six billion, ninety million, five hundred fifty-seven thousand, four hundred forty".