82157483520 has 1120 divisors, whose sum is σ = 356373262080. Its totient is φ = 17736744960.

The previous prime is 82157483497. The next prime is 82157483521. The reversal of 82157483520 is 2538475128.

82157483520 is a `hidden beast` number, since 8 + 21 + 574 + 8 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82157483521) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 248209755 + ... + 248210085.

Almost surely, 2^82157483520 is an apocalyptic number.

82157483520 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 82157483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178186631040).

82157483520 is an abundant number, since it is smaller than the sum of its proper divisors (274215778560).

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

82157483520 is an equidigital number, since it uses as much as digits as its factorization.

82157483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 82157483520 in words is "eighty-two billion, one hundred fifty-seven million, four hundred eighty-three thousand, five hundred twenty".