61287391200 has 288 divisors, whose sum is σ = 228375383040. Its totient is φ = 13984819200.

The previous prime is 61287391183. The next prime is 61287391229. The reversal of 61287391200 is 219378216.

It is a super-2 number, since 2×61287391200² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11102041 + ... + 11107559.

It is an arithmetic number, because the mean of its divisors is an integer number (792970080).

Almost surely, 2^61287391200 is an apocalyptic number.

61287391200 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 61287391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114187691520).

61287391200 is an abundant number, since it is smaller than the sum of its proper divisors (167087991840).

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

61287391200 is a wasteful number, since it uses less digits than its factorization.

61287391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 61287391200 in words is "sixty-one billion, two hundred eighty-seven million, three hundred ninety-one thousand, two hundred".