84564275040000 has 2160 divisors, whose sum is σ = 380601784442880. Its totient is φ = 17604034560000.

The previous prime is 84564275039947. The next prime is 84564275040041. The reversal of 84564275040000 is 4057246548.

84564275040000 is a `hidden beast` number, since 84 + 5 + 64 + 2 + 7 + 504 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×84564275040000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5312152041 + ... + 5312167959.

Almost surely, 2^{84564275040000} is an apocalyptic number.

84564275040000 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 84564275040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190300892221440).

84564275040000 is an abundant number, since it is smaller than the sum of its proper divisors (296037509402880).

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

84564275040000 is a wasteful number, since it uses less digits than its factorization.

84564275040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16016 (or 15984 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 84564275040000 in words is "eighty-four trillion, five hundred sixty-four billion, two hundred seventy-five million, forty thousand".