87533139600 has 135 divisors (see below), whose sum is σ = 303825924649. Its totient is φ = 23337436800.

The previous prime is 87533139583. The next prime is 87533139607. The reversal of 87533139600 is 693133578.

The square root of 87533139600 is 295860.

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

87533139600 is a `hidden beast` number, since 8 + 7 + 5 + 3 + 3 + 1 + 39 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31511930256 + 56021209344 = 177516^2 + 236688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87533139607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17749135 + ... + 17754065.

Almost surely, 2^87533139600 is an apocalyptic number.

87533139600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87533139600 is the 295860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87533139600

87533139600 is an abundant number, since it is smaller than the sum of its proper divisors (216292785049).

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

87533139600 is an equidigital number, since it uses as much as digits as its factorization.

87533139600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 87533139600 in words is "eighty-seven billion, five hundred thirty-three million, one hundred thirty-nine thousand, six hundred".