61147225200 has 120 divisors (see below), whose sum is σ = 207397069488. Its totient is φ = 15346749440.

The previous prime is 61147225189. The next prime is 61147225229. The reversal of 61147225200 is 252274116.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478307 + ... + 1519106.

Almost surely, 2^61147225200 is an apocalyptic number.

61147225200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61147225200 is an abundant number, since it is smaller than the sum of its proper divisors (146249844288).

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

61147225200 is a wasteful number, since it uses less digits than its factorization.

61147225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997451 (or 2997440 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 61147225200 its reverse (252274116), we get a palindrome (61399499316).

The spelling of 61147225200 in words is "sixty-one billion, one hundred forty-seven million, two hundred twenty-five thousand, two hundred".