75156996096 has 480 divisors, whose sum is σ = 274215226880. Its totient is φ = 19811008512.

The previous prime is 75156996071. The next prime is 75156996133. The reversal of 75156996096 is 69069965157.

75156996096 is a `hidden beast` number, since 7 + 5 + 1 + 569 + 9 + 60 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40254555 + ... + 40256421.

Almost surely, 2^75156996096 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 75156996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137107613440).

75156996096 is an abundant number, since it is smaller than the sum of its proper divisors (199058230784).

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

75156996096 is a wasteful number, since it uses less digits than its factorization.

75156996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 75156996096 in words is "seventy-five billion, one hundred fifty-six million, nine hundred ninety-six thousand, ninety-six".