84133969920 has 2048 divisors, whose sum is σ = 422779392000. Its totient is φ = 15288238080.

The previous prime is 84133969891. The next prime is 84133969943. The reversal of 84133969920 is 2996933148.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4428103671 + ... + 4428103689.

It is an arithmetic number, because the mean of its divisors is an integer number (206435250).

Almost surely, 2^84133969920 is an apocalyptic number.

84133969920 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 84133969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211389696000).

84133969920 is an abundant number, since it is smaller than the sum of its proper divisors (338645422080).

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

84133969920 is a wasteful number, since it uses less digits than its factorization.

84133969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 84133969920 in words is "eighty-four billion, one hundred thirty-three million, nine hundred sixty-nine thousand, nine hundred twenty".