109870646400 has 1536 divisors, whose sum is σ = 466255872000. Its totient is φ = 25082265600.

The previous prime is 109870646387. The next prime is 109870646407. The reversal of 109870646400 is 4646078901.

109870646400 is a `hidden beast` number, since 109 + 87 + 0 + 6 + 464 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (109870646407) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 865123137 + ... + 865123263.

It is an arithmetic number, because the mean of its divisors is an integer number (303552000).

Almost surely, 2^109870646400 is an apocalyptic number.

109870646400 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 109870646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233127936000).

109870646400 is an abundant number, since it is smaller than the sum of its proper divisors (356385225600).

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

109870646400 is a wasteful number, since it uses less digits than its factorization.

109870646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109870646400 in words is "one hundred nine billion, eight hundred seventy million, six hundred forty-six thousand, four hundred".