95808061440 has 1632 divisors, whose sum is σ = 451848922560. Its totient is φ = 19025362944.

The previous prime is 95808061439. The next prime is 95808061513. The reversal of 95808061440 is 4416080859.

95808061440 is a `hidden beast` number, since 9 + 580 + 8 + 0 + 61 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5635768312 + ... + 5635768328.

Almost surely, 2^95808061440 is an apocalyptic number.

95808061440 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 95808061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225924461280).

95808061440 is an abundant number, since it is smaller than the sum of its proper divisors (356040861120).

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

95808061440 is a wasteful number, since it uses less digits than its factorization.

95808061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

95808061440 divided by its product of nonzero digits (276480) gives a triangular number (346528 = T₈₃₂).

The spelling of 95808061440 in words is "ninety-five billion, eight hundred eight million, sixty-one thousand, four hundred forty".