87475440000 has 960 divisors, whose sum is σ = 333041330160. Its totient is φ = 20207616000.

The previous prime is 87475439999. The next prime is 87475440001. The reversal of 87475440000 is 4457478.

It is an interprime number because it is at equal distance from previous prime (87475439999) and next prime (87475440001).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87475440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1650479974 + ... + 1650480026.

Almost surely, 2^87475440000 is an apocalyptic number.

87475440000 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 87475440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166520665080).

87475440000 is an abundant number, since it is smaller than the sum of its proper divisors (245565890160).

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

87475440000 is a wasteful number, since it uses less digits than its factorization.

87475440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

Adding to 87475440000 its reverse (4457478), we get a palindrome (87479897478).

The spelling of 87475440000 in words is "eighty-seven billion, four hundred seventy-five million, four hundred forty thousand".