82502221824 has 513 divisors, whose sum is σ = 278293112461. Its totient is φ = 23530045440.

The previous prime is 82502221801. The next prime is 82502221847. The reversal of 82502221824 is 42812220528.

It is a happy number.

The square root of 82502221824 is 287232.

It is a perfect power (a square), and thus also a powerful number.

82502221824 is a `hidden beast` number, since 8 + 250 + 222 + 182 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (82502221801) and next prime (82502221847).

It can be written as a sum of positive squares in only one way, i.e., 64231833600 + 18270388224 = 253440^2 + 135168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4853071864 + ... + 4853071880.

Almost surely, 2^82502221824 is an apocalyptic number.

82502221824 is the 287232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82502221824

82502221824 is an abundant number, since it is smaller than the sum of its proper divisors (195790890637).

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

82502221824 is an equidigital number, since it uses as much as digits as its factorization.

82502221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Multiplying 82502221824 by its sum of digits (36), we get a square (2970079985664 = 1723392²).

82502221824 divided by its sum of digits (36) gives a square (2291728384 = 47872²).

The spelling of 82502221824 in words is "eighty-two billion, five hundred two million, two hundred twenty-one thousand, eight hundred twenty-four".