117280035250560 has 1536 divisors, whose sum is σ = 544107453926400. Its totient is φ = 23442387075072.

The previous prime is 117280035250549. The next prime is 117280035250571. The reversal of 117280035250560 is 65052530082711.

117280035250560 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 8 + 0 + 0 + 35 + 2 + 50 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (117280035250549) and next prime (117280035250571).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268676002 + ... + 269112158.

It is an arithmetic number, because the mean of its divisors is an integer number (354236623650).

Almost surely, 2^{117280035250560} is an apocalyptic number.

117280035250560 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 117280035250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272053726963200).

117280035250560 is an abundant number, since it is smaller than the sum of its proper divisors (426827418675840).

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

117280035250560 is a wasteful number, since it uses less digits than its factorization.

117280035250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436230 (or 436206 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 117280035250560 in words is "one hundred seventeen trillion, two hundred eighty billion, thirty-five million, two hundred fifty thousand, five hundred sixty".