87409821600 has 432 divisors, whose sum is σ = 325105129440. Its totient is φ = 22911206400.

The previous prime is 87409821599. The next prime is 87409821673. The reversal of 87409821600 is 612890478.

87409821600 is a `hidden beast` number, since 8 + 7 + 409 + 82 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11465790 + ... + 11473410.

It is an arithmetic number, because the mean of its divisors is an integer number (752558170).

Almost surely, 2^87409821600 is an apocalyptic number.

87409821600 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 87409821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162552564720).

87409821600 is an abundant number, since it is smaller than the sum of its proper divisors (237695307840).

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

87409821600 is a wasteful number, since it uses less digits than its factorization.

87409821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 87409821600 in words is "eighty-seven billion, four hundred nine million, eight hundred twenty-one thousand, six hundred".