83260235520 has 1944 divisors, whose sum is σ = 391603893408. Its totient is φ = 16236380160.

The previous prime is 83260235501. The next prime is 83260235537. The reversal of 83260235520 is 2553206238.

83260235520 is a `hidden beast` number, since 83 + 2 + 6 + 0 + 23 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1570947814 + ... + 1570947866.

It is an arithmetic number, because the mean of its divisors is an integer number (201442332).

Almost surely, 2^83260235520 is an apocalyptic number.

83260235520 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 83260235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195801946704).

83260235520 is an abundant number, since it is smaller than the sum of its proper divisors (308343657888).

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

83260235520 is a wasteful number, since it uses less digits than its factorization.

83260235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 83260235520 in words is "eighty-three billion, two hundred sixty million, two hundred thirty-five thousand, five hundred twenty".