117375786116100 has 216 divisors, whose sum is σ = 369865972187712. Its totient is φ = 31133983161600.

The previous prime is 117375786115981. The next prime is 117375786116119. The reversal of 117375786116100 is 1611687573711.

117375786116100 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 7 + 5 + 7 + 8 + 6 + 11 + 610 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156083599 + ... + 156833801.

It is an arithmetic number, because the mean of its divisors is an integer number (1712342463832).

Almost surely, 2^{117375786116100} is an apocalyptic number.

117375786116100 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 117375786116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184932986093856).

117375786116100 is an abundant number, since it is smaller than the sum of its proper divisors (252490186071612).

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

117375786116100 is a wasteful number, since it uses less digits than its factorization.

117375786116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751147 (or 751137 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 117375786116100 in words is "one hundred seventeen trillion, three hundred seventy-five billion, seven hundred eighty-six million, one hundred sixteen thousand, one hundred".