83208030693120 has 1152 divisors, whose sum is σ = 312865275340800. Its totient is φ = 20882777702400.

The previous prime is 83208030693071. The next prime is 83208030693131. The reversal of 83208030693120 is 2139603080238.

83208030693120 is a `hidden beast` number, since 8 + 3 + 20 + 8 + 0 + 306 + 9 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88425111850 + ... + 88425112790.

It is an arithmetic number, because the mean of its divisors is an integer number (271584440400).

Almost surely, 2^{83208030693120} is an apocalyptic number.

83208030693120 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 83208030693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156432637670400).

83208030693120 is an abundant number, since it is smaller than the sum of its proper divisors (229657244647680).

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

83208030693120 is a wasteful number, since it uses less digits than its factorization.

83208030693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 83208030693120 in words is "eighty-three trillion, two hundred eight billion, thirty million, six hundred ninety-three thousand, one hundred twenty".