87284755958400 has 6144 divisors, whose sum is σ = 444283564032000. Its totient is φ = 16152979046400.

The previous prime is 87284755958369. The next prime is 87284755958453. The reversal of 87284755958400 is 485955748278.

87284755958400 is a `hidden beast` number, since 8 + 7 + 2 + 84 + 7 + 55 + 95 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 443069827102 + ... + 443069827298.

It is an arithmetic number, because the mean of its divisors is an integer number (72311778000).

Almost surely, 2^{87284755958400} is an apocalyptic number.

87284755958400 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 87284755958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222141782016000).

87284755958400 is an abundant number, since it is smaller than the sum of its proper divisors (356998808073600).

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

87284755958400 is a wasteful number, since it uses less digits than its factorization.

87284755958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 903168000, while the sum is 72.

The spelling of 87284755958400 in words is "eighty-seven trillion, two hundred eighty-four billion, seven hundred fifty-five million, nine hundred fifty-eight thousand, four hundred".