75153080520 has 768 divisors, whose sum is σ = 303756410880. Its totient is φ = 15738624000.

The previous prime is 75153080479. The next prime is 75153080533. The reversal of 75153080520 is 2508035157.

75153080520 is a `hidden beast` number, since 7 + 5 + 1 + 53 + 0 + 80 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 271310622 + ... + 271310898.

It is an arithmetic number, because the mean of its divisors is an integer number (395516160).

Almost surely, 2^75153080520 is an apocalyptic number.

75153080520 is a gapful number since it is divisible by the number (70) 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 75153080520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151878205440).

75153080520 is an abundant number, since it is smaller than the sum of its proper divisors (228603330360).

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

75153080520 is a wasteful number, since it uses less digits than its factorization.

75153080520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 75153080520 in words is "seventy-five billion, one hundred fifty-three million, eighty thousand, five hundred twenty".