61093916928 has 864 divisors, whose sum is σ = 217133629440. Its totient is φ = 16930529280.

The previous prime is 61093916927. The next prime is 61093916941. The reversal of 61093916928 is 82961939016.

61093916928 is a `hidden beast` number, since 610 + 9 + 3 + 9 + 16 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61093916927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481054401 + ... + 481054527.

Almost surely, 2^61093916928 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 61093916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108566814720).

61093916928 is an abundant number, since it is smaller than the sum of its proper divisors (156039712512).

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

61093916928 is a wasteful number, since it uses less digits than its factorization.

61093916928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 61093916928 in words is "sixty-one billion, ninety-three million, nine hundred sixteen thousand, nine hundred twenty-eight".