61389117216000 has 864 divisors, whose sum is σ = 261802838239488. Its totient is φ = 14031785779200.

The previous prime is 61389117215983. The next prime is 61389117216029. The reversal of 61389117216000 is 61271198316.

61389117216000 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 9 + 1 + 17 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53868094 + ... + 54995906.

Almost surely, 2^{61389117216000} is an apocalyptic number.

61389117216000 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 61389117216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130901419119744).

61389117216000 is an abundant number, since it is smaller than the sum of its proper divisors (200413721023488).

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

61389117216000 is an equidigital number, since it uses as much as digits as its factorization.

61389117216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127866 (or 1127830 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 61389117216000 in words is "sixty-one trillion, three hundred eighty-nine billion, one hundred seventeen million, two hundred sixteen thousand".