109626086400 has 528 divisors, whose sum is σ = 375941604864. Its totient is φ = 28152299520.

The previous prime is 109626086393. The next prime is 109626086411. The reversal of 109626086400 is 4680626901.

It is a congruent number.

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, 491596689 + ... + 491596911.

Almost surely, 2^109626086400 is an apocalyptic number.

109626086400 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 109626086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187970802432).

109626086400 is an abundant number, since it is smaller than the sum of its proper divisors (266315518464).

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

109626086400 is a wasteful number, since it uses less digits than its factorization.

109626086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 109626086400 in words is "one hundred nine billion, six hundred twenty-six million, eighty-six thousand, four hundred".