61563127723200 has 672 divisors, whose sum is σ = 227341378387200. Its totient is φ = 16203538391040.

The previous prime is 61563127723189. The next prime is 61563127723249. The reversal of 61563127723200 is 232772136516.

61563127723200 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 312 + 7 + 7 + 2 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4026621156 + ... + 4026636444.

It is an arithmetic number, because the mean of its divisors is an integer number (338305622600).

Almost surely, 2^{61563127723200} is an apocalyptic number.

61563127723200 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 61563127723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113670689193600).

61563127723200 is an abundant number, since it is smaller than the sum of its proper divisors (165778250664000).

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

61563127723200 is a wasteful number, since it uses less digits than its factorization.

61563127723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 61563127723200 its reverse (232772136516), we get a palindrome (61795899859716).

The spelling of 61563127723200 in words is "sixty-one trillion, five hundred sixty-three billion, one hundred twenty-seven million, seven hundred twenty-three thousand, two hundred".