95552835840 has 720 divisors, whose sum is σ = 426307432320. Its totient is φ = 19853475840.

The previous prime is 95552835823. The next prime is 95552835853. The reversal of 95552835840 is 4853825559.

It is a happy number.

95552835840 is a `hidden beast` number, since 9 + 5 + 5 + 52 + 8 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 7977376 + ... + 7989344.

It is an arithmetic number, because the mean of its divisors is an integer number (592093656).

Almost surely, 2^95552835840 is an apocalyptic number.

95552835840 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 95552835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213153716160).

95552835840 is an abundant number, since it is smaller than the sum of its proper divisors (330754596480).

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

95552835840 is a wasteful number, since it uses less digits than its factorization.

95552835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 95552835840 in words is "ninety-five billion, five hundred fifty-two million, eight hundred thirty-five thousand, eight hundred forty".