87830265600 has 2592 divisors, whose sum is σ = 436877038080. Its totient is φ = 17031168000.

The previous prime is 87830265599. The next prime is 87830265637. The reversal of 87830265600 is 656203878.

87830265600 is a `hidden beast` number, since 8 + 7 + 8 + 30 + 2 + 6 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2142201580 + ... + 2142201620.

It is an arithmetic number, because the mean of its divisors is an integer number (168548240).

Almost surely, 2^87830265600 is an apocalyptic number.

87830265600 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 87830265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218438519040).

87830265600 is an abundant number, since it is smaller than the sum of its proper divisors (349046772480).

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

87830265600 is a wasteful number, since it uses less digits than its factorization.

87830265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87830265600 in words is "eighty-seven billion, eight hundred thirty million, two hundred sixty-five thousand, six hundred".