109862126640 has 240 divisors, whose sum is σ = 426743186688. Its totient is φ = 24808702464.

The previous prime is 109862126603. The next prime is 109862126657. The reversal of 109862126640 is 46621268901.

109862126640 is a `hidden beast` number, since 10 + 9 + 8 + 621 + 2 + 6 + 6 + 4 + 0 = 666.

109862126640 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×109862126640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287007 + ... + 549633.

Almost surely, 2^109862126640 is an apocalyptic number.

109862126640 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 109862126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213371593344).

109862126640 is an abundant number, since it is smaller than the sum of its proper divisors (316881060048).

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

109862126640 is a wasteful number, since it uses less digits than its factorization.

109862126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262736 (or 262727 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 109862126640 in words is "one hundred nine billion, eight hundred sixty-two million, one hundred twenty-six thousand, six hundred forty".