61656561001056 has 192 divisors, whose sum is σ = 187750018907136. Its totient is φ = 17352000921600.

The previous prime is 61656561001051. The next prime is 61656561001093. The reversal of 61656561001056 is 65010016565616.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 61656561000996 and 61656561001014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61656561001051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36505821 + ... + 38157411.

It is an arithmetic number, because the mean of its divisors is an integer number (977864681808).

Almost surely, 2^{61656561001056} 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 61656561001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93875009453568).

61656561001056 is an abundant number, since it is smaller than the sum of its proper divisors (126093457906080).

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

61656561001056 is a wasteful number, since it uses less digits than its factorization.

61656561001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652445 (or 1652437 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 61656561001056 in words is "sixty-one trillion, six hundred fifty-six billion, five hundred sixty-one million, one thousand, fifty-six".