109389637900800 has 4800 divisors, whose sum is σ = 479009551426560. Its totient is φ = 24461180928000.

The previous prime is 109389637900747. The next prime is 109389637900847. The reversal of 109389637900800 is 8009736983901.

109389637900800 is a `hidden beast` number, since 10 + 93 + 8 + 96 + 379 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 425640614272 + ... + 425640614528.

Almost surely, 2^{109389637900800} is an apocalyptic number.

109389637900800 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 109389637900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239504775713280).

109389637900800 is an abundant number, since it is smaller than the sum of its proper divisors (369619913525760).

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

109389637900800 is a wasteful number, since it uses less digits than its factorization.

109389637900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 109389637900800 in words is "one hundred nine trillion, three hundred eighty-nine billion, six hundred thirty-seven million, nine hundred thousand, eight hundred".