87425049600 has 1320 divisors, whose sum is σ = 390671751360. Its totient is φ = 18871418880.

The previous prime is 87425049583. The next prime is 87425049601. The reversal of 87425049600 is 694052478.

It is a happy number.

87425049600 is a `hidden beast` number, since 87 + 4 + 2 + 504 + 9 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87425049601) 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 119 ways as a sum of consecutive naturals, for example, 275788642 + ... + 275788958.

It is an arithmetic number, because the mean of its divisors is an integer number (295963448).

Almost surely, 2^87425049600 is an apocalyptic number.

87425049600 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 87425049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195335875680).

87425049600 is an abundant number, since it is smaller than the sum of its proper divisors (303246701760).

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

87425049600 is a wasteful number, since it uses less digits than its factorization.

87425049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 353 counting only the distinct ones).

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

The spelling of 87425049600 in words is "eighty-seven billion, four hundred twenty-five million, forty-nine thousand, six hundred".