75487562500 has 189 divisors, whose sum is σ = 193317701283. Its totient is φ = 25716600000.

The previous prime is 75487562477. The next prime is 75487562503. The reversal of 75487562500 is 526578457.

It is a happy number.

The square root of 75487562500 is 274750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 48638773764 + 26848788736 = 220542^2 + 163856^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (75487562503) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 480812422 + ... + 480812578.

Almost surely, 2^75487562500 is an apocalyptic number.

75487562500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75487562500 is the 274750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75487562500

75487562500 is an abundant number, since it is smaller than the sum of its proper divisors (117830138783).

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

75487562500 is an frugal number, since it uses more digits than its factorization.

75487562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 49.

Multiplying 75487562500 by its sum of digits (49), we get a square (3698890562500 = 1923250²).

75487562500 divided by its sum of digits (49) gives a square (1540562500 = 39250²).

The spelling of 75487562500 in words is "seventy-five billion, four hundred eighty-seven million, five hundred sixty-two thousand, five hundred".