87488392800 has 72 divisors (see below), whose sum is σ = 284774726376. Its totient is φ = 23330237440.

The previous prime is 87488392793. The next prime is 87488392801. The reversal of 87488392800 is 829388478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87488392801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18224349 + ... + 18229148.

It is an arithmetic number, because the mean of its divisors is an integer number (3955204533).

Almost surely, 2^87488392800 is an apocalyptic number.

87488392800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87488392800 is an abundant number, since it is smaller than the sum of its proper divisors (197286333576).

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

87488392800 is a wasteful number, since it uses less digits than its factorization.

87488392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36453520 (or 36453507 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 87488392800 in words is "eighty-seven billion, four hundred eighty-eight million, three hundred ninety-two thousand, eight hundred".