87758137600 has 405 divisors, whose sum is σ = 264164151657. Its totient is φ = 28780308480.

The previous prime is 87758137543. The next prime is 87758137627. The reversal of 87758137600 is 673185778.

The square root of 87758137600 is 296240.

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

It can be written as a sum of positive squares in only one way, i.e., 31592929536 + 56165208064 = 177744^2 + 236992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3815571189 + ... + 3815571211.

Almost surely, 2^87758137600 is an apocalyptic number.

87758137600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87758137600 is the 296240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87758137600

87758137600 is an abundant number, since it is smaller than the sum of its proper divisors (176406014057).

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

87758137600 is an frugal number, since it uses more digits than its factorization.

87758137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 87758137600 in words is "eighty-seven billion, seven hundred fifty-eight million, one hundred thirty-seven thousand, six hundred".