87495875481600 has 2808 divisors, whose sum is σ = 360932084909760. Its totient is φ = 21004977438720.

The previous prime is 87495875481451. The next prime is 87495875481647. The reversal of 87495875481600 is 618457859478.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

87495875481600 is a `hidden beast` number, since 8 + 7 + 4 + 9 + 5 + 8 + 7 + 5 + 4 + 8 + 1 + 600 = 666.

It is a super-3 number, since 3×87495875481600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3804168499189 + ... + 3804168499211.

Almost surely, 2^{87495875481600} is an apocalyptic number.

87495875481600 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 87495875481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180466042454880).

87495875481600 is an abundant number, since it is smaller than the sum of its proper divisors (273436209428160).

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

87495875481600 is an frugal number, since it uses more digits than its factorization.

87495875481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 87495875481600 in words is "eighty-seven trillion, four hundred ninety-five billion, eight hundred seventy-five million, four hundred eighty-one thousand, six hundred".