82537497504 has 1536 divisors, whose sum is σ = 351151718400. Its totient is φ = 18174689280.

The previous prime is 82537497503. The next prime is 82537497529. The reversal of 82537497504 is 40579473528.

It is a happy number.

82537497504 is a `hidden beast` number, since 82 + 53 + 7 + 4 + 9 + 7 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82537497503) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 494236429 + ... + 494236595.

It is an arithmetic number, because the mean of its divisors is an integer number (228614400).

Almost surely, 2^82537497504 is an apocalyptic number.

82537497504 is a gapful number since it is divisible by the number (84) 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 82537497504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175575859200).

82537497504 is an abundant number, since it is smaller than the sum of its proper divisors (268614220896).

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

82537497504 is a wasteful number, since it uses less digits than its factorization.

82537497504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 82537497504 in words is "eighty-two billion, five hundred thirty-seven million, four hundred ninety-seven thousand, five hundred four".