84001165248000 has 5120 divisors, whose sum is σ = 404565722136576. Its totient is φ = 14890106880000.

The previous prime is 84001165247927. The next prime is 84001165248029. The reversal of 84001165248000 is 84256110048.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84001165248000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 137032895694 + ... + 137032896306.

Almost surely, 2^{84001165248000} is an apocalyptic number.

84001165248000 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 84001165248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202282861068288).

84001165248000 is an abundant number, since it is smaller than the sum of its proper divisors (320564556888576).

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

84001165248000 is a wasteful number, since it uses less digits than its factorization.

84001165248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 84001165248000 in words is "eighty-four trillion, one billion, one hundred sixty-five million, two hundred forty-eight thousand".