61283535600 has 240 divisors, whose sum is σ = 228936339200. Its totient is φ = 14007571200.

The previous prime is 61283535571. The next prime is 61283535641. The reversal of 61283535600 is 653538216.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337155 + ... + 486045.

Almost surely, 2^61283535600 is an apocalyptic number.

61283535600 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 61283535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114468169600).

61283535600 is an abundant number, since it is smaller than the sum of its proper divisors (167652803600).

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

61283535600 is a wasteful number, since it uses less digits than its factorization.

61283535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148933 (or 148908 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 61283535600 in words is "sixty-one billion, two hundred eighty-three million, five hundred thirty-five thousand, six hundred".