61659255295616 has 64 divisors (see below), whose sum is σ = 135385261824960. Its totient is φ = 27737996697600.

The previous prime is 61659255295567. The next prime is 61659255295637.

61659255295616 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225595820 + ... + 225868971.

It is an arithmetic number, because the mean of its divisors is an integer number (2115394716015).

Almost surely, 2^{61659255295616} is an apocalyptic number.

It is an amenable number.

61659255295616 is an abundant number, since it is smaller than the sum of its proper divisors (73726006529344).

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

61659255295616 is a wasteful number, since it uses less digits than its factorization.

61659255295616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451464913 (or 451464901 counting only the distinct ones).

The product of its digits is 262440000, while the sum is 68.

The spelling of 61659255295616 in words is "sixty-one trillion, six hundred fifty-nine billion, two hundred fifty-five million, two hundred ninety-five thousand, six hundred sixteen".