87491573730 has 576 divisors, whose sum is σ = 277304601600. Its totient is φ = 18950630400.

The previous prime is 87491573671. The next prime is 87491573731. The reversal of 87491573730 is 3737519478.

87491573730 is a `hidden beast` number, since 87 + 49 + 157 + 373 + 0 = 666.

It is a super-2 number, since 2×87491573730² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87491573731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 587191696 + ... + 587191844.

It is an arithmetic number, because the mean of its divisors is an integer number (481431600).

Almost surely, 2^87491573730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87491573730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138652300800).

87491573730 is an abundant number, since it is smaller than the sum of its proper divisors (189813027870).

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

87491573730 is a wasteful number, since it uses less digits than its factorization.

87491573730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 87491573730 in words is "eighty-seven billion, four hundred ninety-one million, five hundred seventy-three thousand, seven hundred thirty".