61854915577728 has 1152 divisors, whose sum is σ = 218860732732320. Its totient is φ = 15338975920128.

The previous prime is 61854915577723. The next prime is 61854915577739. The reversal of 61854915577728 is 82777551945816.

It is a super-2 number, since 2×61854915577728² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61854915577728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61854915577723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12097575300 + ... + 12097580412.

Almost surely, 2^{61854915577728} 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 61854915577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109430366366160).

61854915577728 is an abundant number, since it is smaller than the sum of its proper divisors (157005817154592).

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

61854915577728 is a wasteful number, since it uses less digits than its factorization.

61854915577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5294 counting only the distinct ones).

The product of its digits is 1185408000, while the sum is 75.

The spelling of 61854915577728 in words is "sixty-one trillion, eight hundred fifty-four billion, nine hundred fifteen million, five hundred seventy-seven thousand, seven hundred twenty-eight".