61532835368256 has 280 divisors, whose sum is σ = 208800255804800. Its totient is φ = 17552123808768.

The previous prime is 61532835368237. The next prime is 61532835368293. The reversal of 61532835368256 is 65286353823516.

61532835368256 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 28 + 353 + 6 + 8 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 61532835368193 and 61532835368202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20861445 + ... + 23627643.

Almost surely, 2^{61532835368256} 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 61532835368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104400127902400).

61532835368256 is an abundant number, since it is smaller than the sum of its proper divisors (147267420436544).

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

61532835368256 is a wasteful number, since it uses less digits than its factorization.

61532835368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766843 (or 2766824 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 61532835368256 in words is "sixty-one trillion, five hundred thirty-two billion, eight hundred thirty-five million, three hundred sixty-eight thousand, two hundred fifty-six".