61389831240960 has 288 divisors, whose sum is σ = 196904523473280. Its totient is φ = 16300462080000.

The previous prime is 61389831240929. The next prime is 61389831240967. The reversal of 61389831240960 is 6904213898316.

It is a super-2 number, since 2×61389831240960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 61389831240894 and 61389831240903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61389831240967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4076071830 + ... + 4076086890.

It is an arithmetic number, because the mean of its divisors is an integer number (683696262060).

Almost surely, 2^{61389831240960} is an apocalyptic number.

61389831240960 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 61389831240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98452261736640).

61389831240960 is an abundant number, since it is smaller than the sum of its proper divisors (135514692232320).

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

61389831240960 is a wasteful number, since it uses less digits than its factorization.

61389831240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 61389831240960 in words is "sixty-one trillion, three hundred eighty-nine billion, eight hundred thirty-one million, two hundred forty thousand, nine hundred sixty".