61583356800 has 1296 divisors, whose sum is σ = 273339279720. Its totient is φ = 13160448000.

The previous prime is 61583356787. The next prime is 61583356801. The reversal of 61583356800 is 865338516.

61583356800 is a `hidden beast` number, since 6 + 1 + 5 + 83 + 3 + 568 + 0 + 0 = 666.

61583356800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61583356800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61583356801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 407836725 + ... + 407836875.

Almost surely, 2^61583356800 is an apocalyptic number.

61583356800 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 61583356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136669639860).

61583356800 is an abundant number, since it is smaller than the sum of its proper divisors (211755922920).

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

61583356800 is a wasteful number, since it uses less digits than its factorization.

61583356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 61583356800 in words is "sixty-one billion, five hundred eighty-three million, three hundred fifty-six thousand, eight hundred".