117890245200 has 480 divisors, whose sum is σ = 470425890816. Its totient is φ = 24571975680.

The previous prime is 117890245199. The next prime is 117890245237. The reversal of 117890245200 is 2542098711.

It is a super-2 number, since 2×117890245200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9057097 + ... + 9070103.

Almost surely, 2^117890245200 is an apocalyptic number.

117890245200 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 117890245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235212945408).

117890245200 is an abundant number, since it is smaller than the sum of its proper divisors (352535645616).

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

117890245200 is a wasteful number, since it uses less digits than its factorization.

117890245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 117890245200 in words is "one hundred seventeen billion, eight hundred ninety million, two hundred forty-five thousand, two hundred".