96953420160 has 192 divisors, whose sum is σ = 335055006000. Its totient is φ = 25833959424.

The previous prime is 96953420147. The next prime is 96953420183. The reversal of 96953420160 is 6102435969.

96953420160 is a `hidden beast` number, since 9 + 69 + 5 + 3 + 420 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8225151 + ... + 8236929.

Almost surely, 2^96953420160 is an apocalyptic number.

96953420160 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 96953420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167527503000).

96953420160 is an abundant number, since it is smaller than the sum of its proper divisors (238101585840).

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

96953420160 is a wasteful number, since it uses less digits than its factorization.

96953420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13233 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 96953420160 in words is "ninety-six billion, nine hundred fifty-three million, four hundred twenty thousand, one hundred sixty".