75052406520 has 1152 divisors, whose sum is σ = 321144445440. Its totient is φ = 15430072320.

The previous prime is 75052406489. The next prime is 75052406543. The reversal of 75052406520 is 2560425057.

75052406520 is a `hidden beast` number, since 7 + 50 + 524 + 0 + 65 + 20 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 701424307 + ... + 701424413.

It is an arithmetic number, because the mean of its divisors is an integer number (278771220).

Almost surely, 2^75052406520 is an apocalyptic number.

75052406520 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 75052406520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160572222720).

75052406520 is an abundant number, since it is smaller than the sum of its proper divisors (246092038920).

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

75052406520 is a wasteful number, since it uses less digits than its factorization.

75052406520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 75052406520 in words is "seventy-five billion, fifty-two million, four hundred six thousand, five hundred twenty".