5507099136000 has 3744 divisors, whose sum is σ = 26723805099264. Its totient is φ = 1064042496000.

The previous prime is 5507099135999. The next prime is 5507099136001. The reversal of 5507099136000 is 6319907055.

5507099136000 is a `hidden beast` number, since 5 + 507 + 0 + 9 + 9 + 136 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5507099135999) and next prime (5507099136001).

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

It is not an unprimeable number, because it can be changed into a prime (5507099136001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66350591959 + ... + 66350592041.

It is an arithmetic number, because the mean of its divisors is an integer number (7137768456).

Almost surely, 2^{5507099136000} is an apocalyptic number.

5507099136000 is a gapful number since it is divisible by the number (50) 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 5507099136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361902549632).

5507099136000 is an abundant number, since it is smaller than the sum of its proper divisors (21216705963264).

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

5507099136000 is a wasteful number, since it uses less digits than its factorization.

5507099136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 5507099136000 in words is "five trillion, five hundred seven billion, ninety-nine million, one hundred thirty-six thousand".