61078579200 has 1152 divisors, whose sum is σ = 250071494400. Its totient is φ = 14533263360.

The previous prime is 61078579193. The next prime is 61078579213. The reversal of 61078579200 is 297587016.

61078579200 is a `hidden beast` number, since 6 + 1 + 0 + 78 + 579 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540518344 + ... + 540518456.

It is an arithmetic number, because the mean of its divisors is an integer number (217075950).

Almost surely, 2^61078579200 is an apocalyptic number.

61078579200 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 61078579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125035747200).

61078579200 is an abundant number, since it is smaller than the sum of its proper divisors (188992915200).

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

61078579200 is a wasteful number, since it uses less digits than its factorization.

61078579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 61078579200 in words is "sixty-one billion, seventy-eight million, five hundred seventy-nine thousand, two hundred".