109723766400 has 960 divisors, whose sum is σ = 440964109080. Its totient is φ = 26754416640.

The previous prime is 109723766381. The next prime is 109723766461. The reversal of 109723766400 is 4667327901.

109723766400 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 237 + 6 + 6 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28799447616 + 80924318784 = 169704^2 + 284472^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 163036464 + ... + 163037136.

Almost surely, 2^109723766400 is an apocalyptic number.

109723766400 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 109723766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220482054540).

109723766400 is an abundant number, since it is smaller than the sum of its proper divisors (331240342680).

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

109723766400 is a wasteful number, since it uses less digits than its factorization.

109723766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 109723766400 in words is "one hundred nine billion, seven hundred twenty-three million, seven hundred sixty-six thousand, four hundred".