83925268560 has 640 divisors, whose sum is σ = 346194984960. Its totient is φ = 18271401984.

The previous prime is 83925268547. The next prime is 83925268573. The reversal of 83925268560 is 6586252938.

83925268560 is a `hidden beast` number, since 8 + 39 + 2 + 526 + 85 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83925268547) and next prime (83925268573).

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 = 83925268497 and 83925268506.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 129714157 + ... + 129714803.

It is an arithmetic number, because the mean of its divisors is an integer number (540929664).

Almost surely, 2^83925268560 is an apocalyptic number.

83925268560 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 83925268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173097492480).

83925268560 is an abundant number, since it is smaller than the sum of its proper divisors (262269716400).

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

83925268560 is a wasteful number, since it uses less digits than its factorization.

83925268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 83925268560 in words is "eighty-three billion, nine hundred twenty-five million, two hundred sixty-eight thousand, five hundred sixty".