83942127360 has 2160 divisors, whose sum is σ = 397886936832. Its totient is φ = 16721510400.

The previous prime is 83942127317. The next prime is 83942127403. The reversal of 83942127360 is 6372124938.

83942127360 is a `hidden beast` number, since 83 + 94 + 2 + 127 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (83942127317) and next prime (83942127403).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2047368940 + ... + 2047368980.

Almost surely, 2^83942127360 is an apocalyptic number.

83942127360 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 83942127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198943468416).

83942127360 is an abundant number, since it is smaller than the sum of its proper divisors (313944809472).

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

83942127360 is a wasteful number, since it uses less digits than its factorization.

83942127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 83942127360 in words is "eighty-three billion, nine hundred forty-two million, one hundred twenty-seven thousand, three hundred sixty".