83995491041280 has 3840 divisors, whose sum is σ = 395219829312000. Its totient is φ = 16951598383104.

The previous prime is 83995491041191. The next prime is 83995491041281. The reversal of 83995491041280 is 8214019459938.

83995491041280 is a `hidden beast` number, since 8 + 3 + 9 + 9 + 54 + 91 + 0 + 412 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83995491041281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3651977871349 + ... + 3651977871371.

It is an arithmetic number, because the mean of its divisors is an integer number (102921830550).

Almost surely, 2^{83995491041280} is an apocalyptic number.

83995491041280 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 83995491041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197609914656000).

83995491041280 is an abundant number, since it is smaller than the sum of its proper divisors (311224338270720).

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

83995491041280 is an frugal number, since it uses more digits than its factorization.

83995491041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 83995491041280 in words is "eighty-three trillion, nine hundred ninety-five billion, four hundred ninety-one million, forty-one thousand, two hundred eighty".