87150895200 has 864 divisors, whose sum is σ = 333058182912. Its totient is φ = 21399552000.

The previous prime is 87150895193. The next prime is 87150895201. The reversal of 87150895200 is 259805178.

It is a happy number.

87150895200 is a `hidden beast` number, since 8 + 71 + 50 + 8 + 9 + 520 + 0 = 666.

It is a super-2 number, since 2×87150895200² (a number of 23 digits) contains 22 as substring.

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 (87150895201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 503762314 + ... + 503762486.

It is an arithmetic number, because the mean of its divisors is an integer number (385484008).

Almost surely, 2^87150895200 is an apocalyptic number.

87150895200 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 87150895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166529091456).

87150895200 is an abundant number, since it is smaller than the sum of its proper divisors (245907287712).

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

87150895200 is a wasteful number, since it uses less digits than its factorization.

87150895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 87150895200 in words is "eighty-seven billion, one hundred fifty million, eight hundred ninety-five thousand, two hundred".