61943163125760 has 1900 divisors, whose sum is σ = 260140904014728. Its totient is φ = 14158437285888.

The previous prime is 61943163125747. The next prime is 61943163125761. The reversal of 61943163125760 is 6752136134916.

61943163125760 is a `hidden beast` number, since 6 + 1 + 9 + 4 + 3 + 1 + 63 + 1 + 2 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61943163125697 and 61943163125706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61943163125761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 8849023303677 + ... + 8849023303683.

Almost surely, 2^{61943163125760} is an apocalyptic number.

61943163125760 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 61943163125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130070452007364).

61943163125760 is an abundant number, since it is smaller than the sum of its proper divisors (198197740888968).

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

61943163125760 is an frugal number, since it uses more digits than its factorization.

61943163125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 61943163125760 in words is "sixty-one trillion, nine hundred forty-three billion, one hundred sixty-three million, one hundred twenty-five thousand, seven hundred sixty".