87417321600 has 768 divisors, whose sum is σ = 351634636800. Its totient is φ = 18656870400.

The previous prime is 87417321587. The next prime is 87417321623. The reversal of 87417321600 is 612371478.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60412077 + ... + 60413523.

It is an arithmetic number, because the mean of its divisors is an integer number (457857600).

Almost surely, 2^87417321600 is an apocalyptic number.

87417321600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87417321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175817318400).

87417321600 is an abundant number, since it is smaller than the sum of its proper divisors (264217315200).

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

87417321600 is a wasteful number, since it uses less digits than its factorization.

87417321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 87417321600 in words is "eighty-seven billion, four hundred seventeen million, three hundred twenty-one thousand, six hundred".