117628822218240 has 640 divisors, whose sum is σ = 428436947030400. Its totient is φ = 30580298219520.

The previous prime is 117628822218211. The next prime is 117628822218283. The reversal of 117628822218240 is 42812228826711.

117628822218240 is a `hidden beast` number, since 1 + 1 + 7 + 628 + 8 + 2 + 2 + 2 + 1 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476320716 + ... + 476567604.

It is an arithmetic number, because the mean of its divisors is an integer number (669432729735).

Almost surely, 2^{117628822218240} is an apocalyptic number.

117628822218240 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 117628822218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214218473515200).

117628822218240 is an abundant number, since it is smaller than the sum of its proper divisors (310808124812160).

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

117628822218240 is a wasteful number, since it uses less digits than its factorization.

117628822218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247095 (or 247073 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 117628822218240 in words is "one hundred seventeen trillion, six hundred twenty-eight billion, eight hundred twenty-two million, two hundred eighteen thousand, two hundred forty".