61205706520992 has 1920 divisors, whose sum is σ = 211446730091520. Its totient is φ = 17202671861760.

The previous prime is 61205706520969. The next prime is 61205706521027. The reversal of 61205706520992 is 29902560750216.

61205706520992 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 570 + 65 + 2 + 0 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×61205706520992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 353790211018 + ... + 353790211190.

It is an arithmetic number, because the mean of its divisors is an integer number (110128505256).

Almost surely, 2^{61205706520992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61205706520992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105723365045760).

61205706520992 is an abundant number, since it is smaller than the sum of its proper divisors (150241023570528).

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

61205706520992 is a wasteful number, since it uses less digits than its factorization.

61205706520992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 61205706520992 in words is "sixty-one trillion, two hundred five billion, seven hundred six million, five hundred twenty thousand, nine hundred ninety-two".