84765534512400 has 675 divisors, whose sum is σ = 353933171588469. Its totient is φ = 19372327752960.

The previous prime is 84765534512389. The next prime is 84765534512419. The reversal of 84765534512400 is 421543556748.

The square root of 84765534512400 is 9206820.

It is a perfect power (a square), and thus also a powerful number.

84765534512400 is a `hidden beast` number, since 8 + 4 + 7 + 6 + 55 + 34 + 512 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30515592424464 + 54249942087936 = 5524092^2 + 7365456^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 11600589547 + ... + 11600596853.

Almost surely, 2^{84765534512400} is an apocalyptic number.

84765534512400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84765534512400 is the 9206820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84765534512400

84765534512400 is an abundant number, since it is smaller than the sum of its proper divisors (269167637076069).

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

84765534512400 is an frugal number, since it uses more digits than its factorization.

84765534512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 84765534512400 in words is "eighty-four trillion, seven hundred sixty-five billion, five hundred thirty-four million, five hundred twelve thousand, four hundred".