96454762560 has 252 divisors, whose sum is σ = 359249430852. Its totient is φ = 23742590976.

The previous prime is 96454762529. The next prime is 96454762561. The reversal of 96454762560 is 6526745469.

96454762560 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 4 + 7 + 625 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3376074816 + 93078687744 = 58104^2 + 305088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96454762497 and 96454762506.

It is not an unprimeable number, because it can be changed into a prime (96454762561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387634 + ... + 585806.

Almost surely, 2^96454762560 is an apocalyptic number.

96454762560 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 96454762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179624715426).

96454762560 is an abundant number, since it is smaller than the sum of its proper divisors (262794668292).

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

96454762560 is a wasteful number, since it uses less digits than its factorization.

96454762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198222 (or 198196 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 96454762560 in words is "ninety-six billion, four hundred fifty-four million, seven hundred sixty-two thousand, five hundred sixty".