95481209134080 has 5632 divisors, whose sum is σ = 456750231920640. Its totient is φ = 18575209267200.

The previous prime is 95481209134057. The next prime is 95481209134097. The reversal of 95481209134080 is 8043190218459.

It is a happy number.

95481209134080 is a `hidden beast` number, since 9 + 5 + 481 + 20 + 9 + 134 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a super-2 number, since 2×95481209134080² (a number of 29 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1307961768924 + ... + 1307961768996.

Almost surely, 2^{95481209134080} is an apocalyptic number.

95481209134080 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 95481209134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228375115960320).

95481209134080 is an abundant number, since it is smaller than the sum of its proper divisors (361269022786560).

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

95481209134080 is a wasteful number, since it uses less digits than its factorization.

95481209134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 95481209134080 in words is "ninety-five trillion, four hundred eighty-one billion, two hundred nine million, one hundred thirty-four thousand, eighty".