6955135200 has 1152 divisors, whose sum is σ = 30238064640. Its totient is φ = 1526169600.

The previous prime is 6955135177. The next prime is 6955135211. The reversal of 6955135200 is 25315596.

6955135200 is a `hidden beast` number, since 6 + 95 + 513 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147981577 + ... + 147981623.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^6955135200 is an apocalyptic number.

6955135200 is a gapful number since it is divisible by the number (60) 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 6955135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119032320).

6955135200 is an abundant number, since it is smaller than the sum of its proper divisors (23282929440).

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

6955135200 is a wasteful number, since it uses less digits than its factorization.

6955135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 6955135200 is about 83397.4531985240. The cubic root of 6955135200 is about 1908.8355977685.

The spelling of 6955135200 in words is "six billion, nine hundred fifty-five million, one hundred thirty-five thousand, two hundred".