84561565525920 has 576 divisors, whose sum is σ = 342139443609600. Its totient is φ = 18610854451200.

The previous prime is 84561565525907. The next prime is 84561565525937. The reversal of 84561565525920 is 2952556516548.

It is a happy number.

84561565525920 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 1 + 5 + 6 + 552 + 59 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61503585 + ... + 62863455.

It is an arithmetic number, because the mean of its divisors is an integer number (593992089600).

Almost surely, 2^{84561565525920} is an apocalyptic number.

84561565525920 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 84561565525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171069721804800).

84561565525920 is an abundant number, since it is smaller than the sum of its proper divisors (257577878083680).

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

84561565525920 is a wasteful number, since it uses less digits than its factorization.

84561565525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360129 (or 1360118 counting only the distinct ones).

The product of its (nonzero) digits is 129600000, while the sum is 63.

The spelling of 84561565525920 in words is "eighty-four trillion, five hundred sixty-one billion, five hundred sixty-five million, five hundred twenty-five thousand, nine hundred twenty".