87343401600 has 2160 divisors, whose sum is σ = 422099917470. Its totient is φ = 17627258880.

The previous prime is 87343401559. The next prime is 87343401619. The reversal of 87343401600 is 610434378.

87343401600 is a `hidden beast` number, since 8 + 7 + 3 + 4 + 3 + 40 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 48509181504 + 38834220096 = 220248^2 + 197064^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 3797539189 + ... + 3797539211.

Almost surely, 2^87343401600 is an apocalyptic number.

87343401600 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 87343401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211049958735).

87343401600 is an abundant number, since it is smaller than the sum of its proper divisors (334756515870).

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

87343401600 is a wasteful number, since it uses less digits than its factorization.

87343401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 87343401600 its reverse (610434378), we get a palindrome (87953835978).

The spelling of 87343401600 in words is "eighty-seven billion, three hundred forty-three million, four hundred one thousand, six hundred".