61589733798516 has 96 divisors (see below), whose sum is σ = 188600141829120. Its totient is φ = 15155368531200.

The previous prime is 61589733798487. The next prime is 61589733798521.

61589733798516 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61589733798516² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754076025 + ... + 1754111136.

It is an arithmetic number, because the mean of its divisors is an integer number (1964584810720).

Almost surely, 2^{61589733798516} is an apocalyptic number.

61589733798516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61589733798516 is an abundant number, since it is smaller than the sum of its proper divisors (127010408030604).

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

61589733798516 is a wasteful number, since it uses less digits than its factorization.

61589733798516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508187205 (or 3508187203 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 78.

The spelling of 61589733798516 in words is "sixty-one trillion, five hundred eighty-nine billion, seven hundred thirty-three million, seven hundred ninety-eight thousand, five hundred sixteen".