82459157760 has 576 divisors, whose sum is σ = 335884469760. Its totient is φ = 18765250560.

The previous prime is 82459157707. The next prime is 82459157777. The reversal of 82459157760 is 6775195428.

82459157760 is a `hidden beast` number, since 8 + 2 + 4 + 5 + 9 + 1 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 82459157697 and 82459157706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67978914 + ... + 67980126.

It is an arithmetic number, because the mean of its divisors is an integer number (583132760).

Almost surely, 2^82459157760 is an apocalyptic number.

82459157760 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 82459157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167942234880).

82459157760 is an abundant number, since it is smaller than the sum of its proper divisors (253425312000).

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

82459157760 is a wasteful number, since it uses less digits than its factorization.

82459157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 82459157760 in words is "eighty-two billion, four hundred fifty-nine million, one hundred fifty-seven thousand, seven hundred sixty".