61575552000 has 440 divisors, whose sum is σ = 229516681680. Its totient is φ = 16417382400.

The previous prime is 61575551987. The next prime is 61575552007. The reversal of 61575552000 is 25557516.

It is a happy number.

61575552000 is a `hidden beast` number, since 61 + 5 + 75 + 5 + 520 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61575552007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10365031 + ... + 10370969.

It is an arithmetic number, because the mean of its divisors is an integer number (521628822).

Almost surely, 2^61575552000 is an apocalyptic number.

61575552000 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 61575552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114758340840).

61575552000 is an abundant number, since it is smaller than the sum of its proper divisors (167941129680).

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

61575552000 is an equidigital number, since it uses as much as digits as its factorization.

61575552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 61575552000 in words is "sixty-one billion, five hundred seventy-five million, five hundred fifty-two thousand".