75286242048 has 288 divisors, whose sum is σ = 220752000000. Its totient is φ = 22685515776.

The previous prime is 75286242047. The next prime is 75286242071. The reversal of 75286242048 is 84024268257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 75286241988 and 75286242006.

It is not an unprimeable number, because it can be changed into a prime (75286242047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37660953 + ... + 37662951.

It is an arithmetic number, because the mean of its divisors is an integer number (766500000).

Almost surely, 2^75286242048 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 75286242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000000).

75286242048 is an abundant number, since it is smaller than the sum of its proper divisors (145465757952).

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

75286242048 is a wasteful number, since it uses less digits than its factorization.

75286242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 75286242048 in words is "seventy-five billion, two hundred eighty-six million, two hundred forty-two thousand, forty-eight".