87294412800 has 1440 divisors, whose sum is σ = 385360335360. Its totient is φ = 19110297600.

The previous prime is 87294412739. The next prime is 87294412823. The reversal of 87294412800 is 821449278.

87294412800 is a `hidden beast` number, since 8 + 72 + 94 + 412 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 899942352 + ... + 899942448.

It is an arithmetic number, because the mean of its divisors is an integer number (267611344).

Almost surely, 2^87294412800 is an apocalyptic number.

87294412800 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 87294412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192680167680).

87294412800 is an abundant number, since it is smaller than the sum of its proper divisors (298065922560).

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

87294412800 is a wasteful number, since it uses less digits than its factorization.

87294412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 87294412800 in words is "eighty-seven billion, two hundred ninety-four million, four hundred twelve thousand, eight hundred".