61562677626516 has 96 divisors (see below), whose sum is σ = 160960184437248. Its totient is φ = 18148911788160.

The previous prime is 61562677626467. The next prime is 61562677626551.

61562677626516 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 38896851 + ... + 40448613.

It is an arithmetic number, because the mean of its divisors is an integer number (1676668587888).

Almost surely, 2^{61562677626516} is an apocalyptic number.

61562677626516 is a gapful number since it is divisible by the number (66) 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 61562677626516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80480092218624).

61562677626516 is an abundant number, since it is smaller than the sum of its proper divisors (99397506810732).

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

61562677626516 is a wasteful number, since it uses less digits than its factorization.

61562677626516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559941 (or 1559939 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 66.

The spelling of 61562677626516 in words is "sixty-one trillion, five hundred sixty-two billion, six hundred seventy-seven million, six hundred twenty-six thousand, five hundred sixteen".