61286400000 has 1080 divisors, whose sum is σ = 266214836160. Its totient is φ = 13271040000.

The previous prime is 61286399987. The next prime is 61286400013. The reversal of 61286400000 is 468216.

61286400000 is a `hidden beast` number, since 6 + 12 + 8 + 640 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61286399987) and next prime (61286400013).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 3225599991 + ... + 3225600009.

Almost surely, 2^61286400000 is an apocalyptic number.

61286400000 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 61286400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133107418080).

61286400000 is an abundant number, since it is smaller than the sum of its proper divisors (204928436160).

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

61286400000 is an frugal number, since it uses more digits than its factorization.

61286400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 61286400000 its reverse (468216), we get a palindrome (61286868216).

The spelling of 61286400000 in words is "sixty-one billion, two hundred eighty-six million, four hundred thousand".