83738868111360 has 1728 divisors, whose sum is σ = 375758503061760. Its totient is φ = 17399209328640.

The previous prime is 83738868111343. The next prime is 83738868111377. The reversal of 83738868111360 is 6311186883738.

83738868111360 is a `hidden beast` number, since 8 + 3 + 7 + 388 + 6 + 81 + 113 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (83738868111343) and next prime (83738868111377).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×83738868111360² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5173209187 + ... + 5173225373.

It is an arithmetic number, because the mean of its divisors is an integer number (217452837420).

Almost surely, 2^{83738868111360} is an apocalyptic number.

83738868111360 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 83738868111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187879251530880).

83738868111360 is an abundant number, since it is smaller than the sum of its proper divisors (292019634950400).

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

83738868111360 is an equidigital number, since it uses as much as digits as its factorization.

83738868111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16256 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 83738868111360 in words is "eighty-three trillion, seven hundred thirty-eight billion, eight hundred sixty-eight million, one hundred eleven thousand, three hundred sixty".