87452056800 has 216 divisors, whose sum is σ = 308882574000. Its totient is φ = 23282380800.

The previous prime is 87452056763. The next prime is 87452056807. The reversal of 87452056800 is 865025478.

87452056800 is a `hidden beast` number, since 8 + 74 + 520 + 56 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (87452056807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4533576 + ... + 4552824.

Almost surely, 2^87452056800 is an apocalyptic number.

87452056800 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 87452056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441287000).

87452056800 is an abundant number, since it is smaller than the sum of its proper divisors (221430517200).

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

87452056800 is a wasteful number, since it uses less digits than its factorization.

87452056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19906 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 87452056800 in words is "eighty-seven billion, four hundred fifty-two million, fifty-six thousand, eight hundred".