84544965120 has 960 divisors, whose sum is σ = 348903168768. Its totient is φ = 17085235200.

The previous prime is 84544965091. The next prime is 84544965143. The reversal of 84544965120 is 2156944548.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×84544965120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84544965120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266703202 + ... + 266703518.

Almost surely, 2^84544965120 is an apocalyptic number.

84544965120 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 84544965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174451584384).

84544965120 is an abundant number, since it is smaller than the sum of its proper divisors (264358203648).

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

84544965120 is a wasteful number, since it uses less digits than its factorization.

84544965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 84544965120 in words is "eighty-four billion, five hundred forty-four million, nine hundred sixty-five thousand, one hundred twenty".