87240384000 has 1440 divisors, whose sum is σ = 400173931872. Its totient is φ = 18063360000.

The previous prime is 87240383999. The next prime is 87240384019. The reversal of 87240384000 is 48304278.

87240384000 is a `hidden beast` number, since 8 + 7 + 240 + 3 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×87240384000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 310463860 + ... + 310464140.

Almost surely, 2^87240384000 is an apocalyptic number.

87240384000 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 87240384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200086965936).

87240384000 is an abundant number, since it is smaller than the sum of its proper divisors (312933547872).

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

87240384000 is a wasteful number, since it uses less digits than its factorization.

87240384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 87240384000 its reverse (48304278), we get a palindrome (87288688278).

The spelling of 87240384000 in words is "eighty-seven billion, two hundred forty million, three hundred eighty-four thousand".