61123795200 has 324 divisors, whose sum is σ = 235344351060. Its totient is φ = 15045672960.

The previous prime is 61123795189. The next prime is 61123795223. The reversal of 61123795200 is 259732116.

61123795200 is a `hidden beast` number, since 6 + 1 + 123 + 7 + 9 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2226329856 + 58897465344 = 47184^2 + 242688^2 .

It is a super-2 number, since 2×61123795200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 707986 + ... + 789614.

Almost surely, 2^61123795200 is an apocalyptic number.

61123795200 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 61123795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117672175530).

61123795200 is an abundant number, since it is smaller than the sum of its proper divisors (174220555860).

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

61123795200 is a wasteful number, since it uses less digits than its factorization.

61123795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81674 (or 81652 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 61123795200 in words is "sixty-one billion, one hundred twenty-three million, seven hundred ninety-five thousand, two hundred".