96028072560000 has 3200 divisors, whose sum is σ = 430548612341760. Its totient is φ = 20774983680000.

The previous prime is 96028072559987. The next prime is 96028072560001. The reversal of 96028072560000 is 6527082069.

96028072560000 is a `hidden beast` number, since 9 + 6 + 0 + 2 + 80 + 7 + 2 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96028072560001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 66089519274 + ... + 66089520726.

Almost surely, 2^{96028072560000} is an apocalyptic number.

96028072560000 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 96028072560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215274306170880).

96028072560000 is an abundant number, since it is smaller than the sum of its proper divisors (334520539781760).

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

96028072560000 is a wasteful number, since it uses less digits than its factorization.

96028072560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 96028072560000 in words is "ninety-six trillion, twenty-eight billion, seventy-two million, five hundred sixty thousand".