117790589030400 has 2808 divisors, whose sum is σ = 503194435184168. Its totient is φ = 26159874048000.

The previous prime is 117790589030377. The next prime is 117790589030407. The reversal of 117790589030400 is 4030985097711.

It is a happy number.

117790589030400 is a `hidden beast` number, since 1 + 1 + 7 + 79 + 0 + 58 + 90 + 30 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 104145780473856 + 13644808556544 = 10205184^2 + 3693888^2 .

It is not an unprimeable number, because it can be changed into a prime (117790589030407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 279787622190 + ... + 279787622610.

Almost surely, 2^{117790589030400} is an apocalyptic number.

117790589030400 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 117790589030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251597217592084).

117790589030400 is an abundant number, since it is smaller than the sum of its proper divisors (385403846153768).

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

117790589030400 is a wasteful number, since it uses less digits than its factorization.

117790589030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 117790589030400 in words is "one hundred seventeen trillion, seven hundred ninety billion, five hundred eighty-nine million, thirty thousand, four hundred".