61769350258560 has 2048 divisors, whose sum is σ = 280661594112000. Its totient is φ = 12511511838720.

The previous prime is 61769350258493. The next prime is 61769350258607. The reversal of 61769350258560 is 6585205396716.

It is a happy number.

61769350258560 is a `hidden beast` number, since 6 + 1 + 7 + 69 + 3 + 5 + 0 + 2 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2358585946 + ... + 2358612134.

It is an arithmetic number, because the mean of its divisors is an integer number (137041794000).

Almost surely, 2^{61769350258560} is an apocalyptic number.

61769350258560 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 61769350258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140330797056000).

61769350258560 is an abundant number, since it is smaller than the sum of its proper divisors (218892243853440).

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

61769350258560 is a wasteful number, since it uses less digits than its factorization.

61769350258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26309 (or 26291 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 61769350258560 in words is "sixty-one trillion, seven hundred sixty-nine billion, three hundred fifty million, two hundred fifty-eight thousand, five hundred sixty".