61656100000 has 288 divisors, whose sum is σ = 172782191232. Its totient is φ = 21436800000.

The previous prime is 61656099991. The next prime is 61656100027. The reversal of 61656100000 is 165616.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25298782 + ... + 25301218.

It is an arithmetic number, because the mean of its divisors is an integer number (599938164).

Almost surely, 2^61656100000 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 61656100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86391095616).

61656100000 is an abundant number, since it is smaller than the sum of its proper divisors (111126091232).

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

61656100000 is a wasteful number, since it uses less digits than its factorization.

61656100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 61656100000 its reverse (165616), we get a palindrome (61656265616).

The spelling of 61656100000 in words is "sixty-one billion, six hundred fifty-six million, one hundred thousand".