87413682240 has 168 divisors, whose sum is σ = 313739345088. Its totient is φ = 22296806400.

The previous prime is 87413682229. The next prime is 87413682247. The reversal of 87413682240 is 4228631478.

It is a happy number.

87413682240 is a `hidden beast` number, since 8 + 7 + 41 + 368 + 2 + 240 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87413682247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593586 + ... + 726065.

Almost surely, 2^87413682240 is an apocalyptic number.

87413682240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87413682240 is an abundant number, since it is smaller than the sum of its proper divisors (226325662848).

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

87413682240 is a wasteful number, since it uses less digits than its factorization.

87413682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319697 (or 1319684 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 87413682240 in words is "eighty-seven billion, four hundred thirteen million, six hundred eighty-two thousand, two hundred forty".