96995021760 has 1260 divisors, whose sum is σ = 426522364632. Its totient is φ = 20218318848.

The previous prime is 96995021759. The next prime is 96995021777. The reversal of 96995021760 is 6712059969.

96995021760 is a `hidden beast` number, since 9 + 69 + 9 + 502 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a junction number, because it is equal to n+sod(n) for n = 96995021697 and 96995021706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1168614679 + ... + 1168614761.

Almost surely, 2^96995021760 is an apocalyptic number.

96995021760 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 96995021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213261182316).

96995021760 is an abundant number, since it is smaller than the sum of its proper divisors (329527342872).

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

96995021760 is a wasteful number, since it uses less digits than its factorization.

96995021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 96995021760 in words is "ninety-six billion, nine hundred ninety-five million, twenty-one thousand, seven hundred sixty".