109263782400 has 480 divisors, whose sum is σ = 377956041408. Its totient is φ = 27795456000.

The previous prime is 109263782399. The next prime is 109263782413. The reversal of 109263782400 is 4287362901.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75301675 + ... + 75303125.

Almost surely, 2^109263782400 is an apocalyptic number.

109263782400 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 109263782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188978020704).

109263782400 is an abundant number, since it is smaller than the sum of its proper divisors (268692259008).

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

109263782400 is a wasteful number, since it uses less digits than its factorization.

109263782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 109263782400 in words is "one hundred nine billion, two hundred sixty-three million, seven hundred eighty-two thousand, four hundred".