87555237120 has 1152 divisors, whose sum is σ = 360149529600. Its totient is φ = 19970260992.

The previous prime is 87555237073. The next prime is 87555237127. The reversal of 87555237120 is 2173255578.

87555237120 is a `hidden beast` number, since 8 + 7 + 5 + 552 + 3 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (87555237127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382337166 + ... + 382337394.

It is an arithmetic number, because the mean of its divisors is an integer number (312629800).

Almost surely, 2^87555237120 is an apocalyptic number.

87555237120 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 87555237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180074764800).

87555237120 is an abundant number, since it is smaller than the sum of its proper divisors (272594292480).

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

87555237120 is a wasteful number, since it uses less digits than its factorization.

87555237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 87555237120 in words is "eighty-seven billion, five hundred fifty-five million, two hundred thirty-seven thousand, one hundred twenty".