61892744808000 has 224 divisors, whose sum is σ = 204380252818560. Its totient is φ = 16503891302400.

The previous prime is 61892744807983. The next prime is 61892744808029. The reversal of 61892744808000 is 80844729816.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576642339 + ... + 576749661.

It is an arithmetic number, because the mean of its divisors is an integer number (912411842940).

Almost surely, 2^{61892744808000} is an apocalyptic number.

61892744808000 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 61892744808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102190126409280).

61892744808000 is an abundant number, since it is smaller than the sum of its proper divisors (142487508010560).

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

61892744808000 is a wasteful number, since it uses less digits than its factorization.

61892744808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131382 (or 131362 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 61892744808000 in words is "sixty-one trillion, eight hundred ninety-two billion, seven hundred forty-four million, eight hundred eight thousand".