117025835581440 has 1520 divisors, whose sum is σ = 445260692008704. Its totient is φ = 29383993589760.

The previous prime is 117025835581411. The next prime is 117025835581441. The reversal of 117025835581440 is 44185538520711.

117025835581440 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 2 + 5 + 83 + 558 + 1 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117025835581441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3162860421102 + ... + 3162860421138.

Almost surely, 2^{117025835581440} is an apocalyptic number.

117025835581440 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 117025835581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222630346004352).

117025835581440 is an abundant number, since it is smaller than the sum of its proper divisors (328234856427264).

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

117025835581440 is an frugal number, since it uses more digits than its factorization.

117025835581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 117025835581440 in words is "one hundred seventeen trillion, twenty-five billion, eight hundred thirty-five million, five hundred eighty-one thousand, four hundred forty".