87452035200 has 864 divisors, whose sum is σ = 338937056640. Its totient is φ = 21420072960.

The previous prime is 87452035199. The next prime is 87452035207. The reversal of 87452035200 is 253025478.

87452035200 is a `hidden beast` number, since 87 + 4 + 52 + 0 + 3 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87452035207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1650038374 + ... + 1650038426.

It is an arithmetic number, because the mean of its divisors is an integer number (392288260).

Almost surely, 2^87452035200 is an apocalyptic number.

87452035200 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 87452035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169468528320).

87452035200 is an abundant number, since it is smaller than the sum of its proper divisors (251485021440).

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

87452035200 is a wasteful number, since it uses less digits than its factorization.

87452035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 87452035200 in words is "eighty-seven billion, four hundred fifty-two million, thirty-five thousand, two hundred".