83523236469120 has 640 divisors, whose sum is σ = 341853706117440. Its totient is φ = 19036914057216.

The previous prime is 83523236469109. The next prime is 83523236469133. The reversal of 83523236469120 is 2196463232538.

83523236469120 is a `hidden beast` number, since 8 + 3 + 5 + 23 + 2 + 36 + 469 + 120 = 666.

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

It is a super-2 number, since 2×83523236469120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127770624 + ... + 128422656.

Almost surely, 2^{83523236469120} is an apocalyptic number.

83523236469120 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 83523236469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170926853058720).

83523236469120 is an abundant number, since it is smaller than the sum of its proper divisors (258330469648320).

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

83523236469120 is a wasteful number, since it uses less digits than its factorization.

83523236469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652424 (or 652403 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 83523236469120 in words is "eighty-three trillion, five hundred twenty-three billion, two hundred thirty-six million, four hundred sixty-nine thousand, one hundred twenty".