83523212640 has 864 divisors, whose sum is σ = 359226977760. Its totient is φ = 18069682176.

The previous prime is 83523212629. The next prime is 83523212653. The reversal of 83523212640 is 4621232538.

83523212640 is a `hidden beast` number, since 8 + 3 + 5 + 2 + 3 + 2 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×83523212640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83523212595 and 83523212604.

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, 76415934 + ... + 76417026.

It is an arithmetic number, because the mean of its divisors is an integer number (415771965).

Almost surely, 2^83523212640 is an apocalyptic number.

83523212640 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 83523212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179613488880).

83523212640 is an abundant number, since it is smaller than the sum of its proper divisors (275703765120).

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

83523212640 is a wasteful number, since it uses less digits than its factorization.

83523212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 83523212640 in words is "eighty-three billion, five hundred twenty-three million, two hundred twelve thousand, six hundred forty".