95948380440 has 512 divisors, whose sum is σ = 372501504000. Its totient is φ = 21721996800.

The previous prime is 95948380433. The next prime is 95948380481. The reversal of 95948380440 is 4408384959.

95948380440 is a `hidden beast` number, since 9 + 594 + 8 + 3 + 8 + 0 + 4 + 40 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 16023127 + ... + 16029113.

It is an arithmetic number, because the mean of its divisors is an integer number (727542000).

Almost surely, 2^95948380440 is an apocalyptic number.

95948380440 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 95948380440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186250752000).

95948380440 is an abundant number, since it is smaller than the sum of its proper divisors (276553123560).

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

95948380440 is a wasteful number, since it uses less digits than its factorization.

95948380440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 95948380440 in words is "ninety-five billion, nine hundred forty-eight million, three hundred eighty thousand, four hundred forty".