83576525760 has 1568 divisors, whose sum is σ = 382078943232. Its totient is φ = 16930529280.

The previous prime is 83576525749. The next prime is 83576525761. The reversal of 83576525760 is 6752567538.

83576525760 is a `hidden beast` number, since 8 + 3 + 5 + 7 + 65 + 2 + 576 + 0 = 666.

It is a super-2 number, since 2×83576525760² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83576525697 and 83576525706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83576525761) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 658082817 + ... + 658082943.

Almost surely, 2^83576525760 is an apocalyptic number.

83576525760 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 83576525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191039471616).

83576525760 is an abundant number, since it is smaller than the sum of its proper divisors (298502417472).

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

83576525760 is a wasteful number, since it uses less digits than its factorization.

83576525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 83576525760 in words is "eighty-three billion, five hundred seventy-six million, five hundred twenty-five thousand, seven hundred sixty".