117772213345920 has 2304 divisors, whose sum is σ = 516616925460480. Its totient is φ = 24573931683840.

The previous prime is 117772213345901. The next prime is 117772213345981. The reversal of 117772213345920 is 29543312277711.

It is a happy number.

117772213345920 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 7 + 2 + 2 + 13 + 34 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14690305752 + ... + 14690313768.

It is an arithmetic number, because the mean of its divisors is an integer number (224226096120).

Almost surely, 2^{117772213345920} is an apocalyptic number.

117772213345920 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 117772213345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258308462730240).

117772213345920 is an abundant number, since it is smaller than the sum of its proper divisors (398844712114560).

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

117772213345920 is a wasteful number, since it uses less digits than its factorization.

117772213345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 117772213345920 in words is "one hundred seventeen trillion, seven hundred seventy-two billion, two hundred thirteen million, three hundred forty-five thousand, nine hundred twenty".