75021151080096 has 288 divisors, whose sum is σ = 237479711938560. Its totient is φ = 22309032960000.

The previous prime is 75021151080091. The next prime is 75021151080149. The reversal of 75021151080096 is 69008015112057.

75021151080096 is a `hidden beast` number, since 7 + 50 + 2 + 1 + 1 + 510 + 80 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (75021151080091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86733720 + ... + 87594408.

It is an arithmetic number, because the mean of its divisors is an integer number (824582333120).

Almost surely, 2^{75021151080096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75021151080096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118739855969280).

75021151080096 is an abundant number, since it is smaller than the sum of its proper divisors (162458560858464).

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

75021151080096 is a wasteful number, since it uses less digits than its factorization.

75021151080096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861500 (or 861489 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 75021151080096 in words is "seventy-five trillion, twenty-one billion, one hundred fifty-one million, eighty thousand, ninety-six".