61373120256 has 576 divisors, whose sum is σ = 220830489600. Its totient is φ = 16422912000.

The previous prime is 61373120233. The next prime is 61373120273. The reversal of 61373120256 is 65202137316.

61373120256 is a `hidden beast` number, since 61 + 37 + 312 + 0 + 256 = 666.

61373120256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61373120256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92848566 + ... + 92849226.

Almost surely, 2^61373120256 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 61373120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110415244800).

61373120256 is an abundant number, since it is smaller than the sum of its proper divisors (159457369344).

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

61373120256 is a wasteful number, since it uses less digits than its factorization.

61373120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 61373120256 in words is "sixty-one billion, three hundred seventy-three million, one hundred twenty thousand, two hundred fifty-six".