61983552000 has 320 divisors, whose sum is σ = 206826048000. Its totient is φ = 16469196800.

The previous prime is 61983551977. The next prime is 61983552011. The reversal of 61983552000 is 25538916.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 61983552000.

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, 86207641 + ... + 86208359.

It is an arithmetic number, because the mean of its divisors is an integer number (646331400).

Almost surely, 2^61983552000 is an apocalyptic number.

61983552000 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 61983552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103413024000).

61983552000 is an abundant number, since it is smaller than the sum of its proper divisors (144842496000).

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

61983552000 is an equidigital number, since it uses as much as digits as its factorization.

61983552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 61983552000 in words is "sixty-one billion, nine hundred eighty-three million, five hundred fifty-two thousand".