83901484800 has 1134 divisors, whose sum is σ = 363182931888. Its totient is φ = 19125227520.

The previous prime is 83901484787. The next prime is 83901484801. The reversal of 83901484800 is 848410938.

83901484800 is a `hidden beast` number, since 8 + 3 + 90 + 1 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1134).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83901484801) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 228614217 + ... + 228614583.

Almost surely, 2^83901484800 is an apocalyptic number.

83901484800 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 83901484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181591465944).

83901484800 is an abundant number, since it is smaller than the sum of its proper divisors (279281447088).

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

83901484800 is an equidigital number, since it uses as much as digits as its factorization.

83901484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 83901484800 in words is "eighty-three billion, nine hundred one million, four hundred eighty-four thousand, eight hundred".