113585688005040 has 320 divisors, whose sum is σ = 414270505883520. Its totient is φ = 28506623016960.

The previous prime is 113585688005003. The next prime is 113585688005077. The reversal of 113585688005040 is 40500886585311.

113585688005040 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 8 + 56 + 8 + 80 + 0 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113585688005003) and next prime (113585688005077).

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

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, 1235104660 + ... + 1235196620.

It is an arithmetic number, because the mean of its divisors is an integer number (1294595330886).

Almost surely, 2^{113585688005040} is an apocalyptic number.

113585688005040 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 113585688005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207135252941760).

113585688005040 is an abundant number, since it is smaller than the sum of its proper divisors (300684817878480).

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

113585688005040 is a wasteful number, since it uses less digits than its factorization.

113585688005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125637 (or 125625 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 113585688005040 in words is "one hundred thirteen trillion, five hundred eighty-five billion, six hundred eighty-eight million, five thousand, forty".