82577518033920 has 5632 divisors, whose sum is σ = 380321464320000. Its totient is φ = 15107327262720.

The previous prime is 82577518033883. The next prime is 82577518033937. The reversal of 82577518033920 is 2933081577528.

It is a super-4 number, since 4×82577518033920⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 927837281236 + ... + 927837281324.

Almost surely, 2^{82577518033920} is an apocalyptic number.

82577518033920 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 82577518033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190160732160000).

82577518033920 is an abundant number, since it is smaller than the sum of its proper divisors (297743946286080).

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

82577518033920 is a wasteful number, since it uses less digits than its factorization.

82577518033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 82577518033920 in words is "eighty-two trillion, five hundred seventy-seven billion, five hundred eighteen million, thirty-three thousand, nine hundred twenty".