83872972800 has 600 divisors, whose sum is σ = 314656386000. Its totient is φ = 22083010560.

The previous prime is 83872972769. The next prime is 83872972823. The reversal of 83872972800 is 827927838.

It is a tau number, because it is divible by the number of its divisors (600).

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 29 ways as a sum of consecutive naturals, for example, 1061683161 + ... + 1061683239.

It is an arithmetic number, because the mean of its divisors is an integer number (524427310).

Almost surely, 2^83872972800 is an apocalyptic number.

83872972800 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 83872972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157328193000).

83872972800 is an abundant number, since it is smaller than the sum of its proper divisors (230783413200).

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

83872972800 is an frugal number, since it uses more digits than its factorization.

83872972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 83872972800 in words is "eighty-three billion, eight hundred seventy-two million, nine hundred seventy-two thousand, eight hundred".