83975201280 has 640 divisors, whose sum is σ = 308754167040. Its totient is φ = 21893234688.

The previous prime is 83975201263. The next prime is 83975201309. The reversal of 83975201280 is 8210257938.

It is a happy number.

83975201280 is a `hidden beast` number, since 8 + 39 + 7 + 520 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296732019 + ... + 296732301.

It is an arithmetic number, because the mean of its divisors is an integer number (482428386).

Almost surely, 2^83975201280 is an apocalyptic number.

83975201280 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 83975201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154377083520).

83975201280 is an abundant number, since it is smaller than the sum of its proper divisors (224778965760).

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

83975201280 is an frugal number, since it uses more digits than its factorization.

83975201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 83975201280 in words is "eighty-three billion, nine hundred seventy-five million, two hundred one thousand, two hundred eighty".