82537373520 has 800 divisors, whose sum is σ = 342926622720. Its totient is φ = 18001751040.

The previous prime is 82537373509. The next prime is 82537373539. The reversal of 82537373520 is 2537373528.

82537373520 is a `hidden beast` number, since 8 + 2 + 53 + 7 + 3 + 73 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111086269 + ... + 111087011.

Almost surely, 2^82537373520 is an apocalyptic number.

82537373520 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 82537373520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171463311360).

82537373520 is an abundant number, since it is smaller than the sum of its proper divisors (260389249200).

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

82537373520 is a wasteful number, since it uses less digits than its factorization.

82537373520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 82537373520 in words is "eighty-two billion, five hundred thirty-seven million, three hundred seventy-three thousand, five hundred twenty".