107755008000 has 624 divisors, whose sum is σ = 375580022688. Its totient is φ = 27426816000.

The previous prime is 107755007959. The next prime is 107755008043. The reversal of 107755008000 is 800557701.

It is a super-2 number, since 2×107755008000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1476095964 + ... + 1476096036.

It is an arithmetic number, because the mean of its divisors is an integer number (601891062).

Almost surely, 2^107755008000 is an apocalyptic number.

107755008000 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 107755008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187790011344).

107755008000 is an abundant number, since it is smaller than the sum of its proper divisors (267825014688).

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

107755008000 is an frugal number, since it uses more digits than its factorization.

107755008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

The spelling of 107755008000 in words is "one hundred seven billion, seven hundred fifty-five million, eight thousand".