95029208820 has 1152 divisors, whose sum is σ = 393728864256. Its totient is φ = 17988452352.

The previous prime is 95029208797. The next prime is 95029208861. The reversal of 95029208820 is 2880292059.

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 693643792 + ... + 693643928.

It is an arithmetic number, because the mean of its divisors is an integer number (341778528).

Almost surely, 2^95029208820 is an apocalyptic number.

95029208820 is a gapful number since it is divisible by the number (90) 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 95029208820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196864432128).

95029208820 is an abundant number, since it is smaller than the sum of its proper divisors (298699655436).

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

95029208820 is a wasteful number, since it uses less digits than its factorization.

95029208820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 95029208820 in words is "ninety-five billion, twenty-nine million, two hundred eight thousand, eight hundred twenty".