95802459480 has 512 divisors, whose sum is σ = 394000588800. Its totient is φ = 20163686400.

The previous prime is 95802459479. The next prime is 95802459553. The reversal of 95802459480 is 8495420859.

It is a happy number.

95802459480 is a `hidden beast` number, since 9 + 580 + 2 + 4 + 59 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×95802459480³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51202945 + ... + 51204815.

It is an arithmetic number, because the mean of its divisors is an integer number (769532400).

Almost surely, 2^95802459480 is an apocalyptic number.

95802459480 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 95802459480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197000294400).

95802459480 is an abundant number, since it is smaller than the sum of its proper divisors (298198129320).

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

95802459480 is a wasteful number, since it uses less digits than its factorization.

95802459480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 95802459480 in words is "ninety-five billion, eight hundred two million, four hundred fifty-nine thousand, four hundred eighty".