61583289600 has 432 divisors, whose sum is σ = 233585049600. Its totient is φ = 13996646400.

The previous prime is 61583289587. The next prime is 61583289629. The reversal of 61583289600 is 698238516.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61583289600.

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, 25669201 + ... + 25671599.

Almost surely, 2^61583289600 is an apocalyptic number.

61583289600 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 61583289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116792524800).

61583289600 is an abundant number, since it is smaller than the sum of its proper divisors (172001760000).

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

61583289600 is a wasteful number, since it uses less digits than its factorization.

61583289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 61583289600 in words is "sixty-one billion, five hundred eighty-three million, two hundred eighty-nine thousand, six hundred".