61128249600 has 864 divisors, whose sum is σ = 231249199104. Its totient is φ = 14089420800.

The previous prime is 61128249599. The next prime is 61128249619. The reversal of 61128249600 is 694282116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481324737 + ... + 481324863.

It is an arithmetic number, because the mean of its divisors is an integer number (267649536).

Almost surely, 2^61128249600 is an apocalyptic number.

61128249600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61128249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115624599552).

61128249600 is an abundant number, since it is smaller than the sum of its proper divisors (170120949504).

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

61128249600 is a wasteful number, since it uses less digits than its factorization.

61128249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 61128249600 in words is "sixty-one billion, one hundred twenty-eight million, two hundred forty-nine thousand, six hundred".