61825852816 has 80 divisors (see below), whose sum is σ = 147569804928. Its totient is φ = 24435532800.

The previous prime is 61825852799. The next prime is 61825852861.

61825852816 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569036 + ... + 1607956.

Almost surely, 2^61825852816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61825852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73784902464).

61825852816 is an abundant number, since it is smaller than the sum of its proper divisors (85743952112).

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

61825852816 is a wasteful number, since it uses less digits than its factorization.

61825852816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40040 (or 40034 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 52.

The spelling of 61825852816 in words is "sixty-one billion, eight hundred twenty-five million, eight hundred fifty-two thousand, eight hundred sixteen".