96541323840 has 672 divisors, whose sum is σ = 370173113856. Its totient is φ = 22943416320.

The previous prime is 96541323829. The next prime is 96541323847. The reversal of 96541323840 is 4832314569.

96541323840 is a `hidden beast` number, since 9 + 6 + 541 + 3 + 23 + 84 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96541323847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146053110 + ... + 146053770.

It is an arithmetic number, because the mean of its divisors is an integer number (550852848).

Almost surely, 2^96541323840 is an apocalyptic number.

96541323840 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 96541323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185086556928).

96541323840 is an abundant number, since it is smaller than the sum of its proper divisors (273631790016).

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

96541323840 is a wasteful number, since it uses less digits than its factorization.

96541323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 96541323840 in words is "ninety-six billion, five hundred forty-one million, three hundred twenty-three thousand, eight hundred forty".