61089374817280 has 88 divisors (see below), whose sum is σ = 146596839742080. Its totient is φ = 24426757324800.

The previous prime is 61089374817227. The next prime is 61089374817283. The reversal of 61089374817280 is 8271847398016.

61089374817280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61089374817280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (61089374817283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11727180 + ... + 16115380.

Almost surely, 2^{61089374817280} 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 61089374817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73298419871040).

61089374817280 is an abundant number, since it is smaller than the sum of its proper divisors (85507464924800).

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

61089374817280 is a wasteful number, since it uses less digits than its factorization.

61089374817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390945 (or 4390927 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 64.

The spelling of 61089374817280 in words is "sixty-one trillion, eighty-nine billion, three hundred seventy-four million, eight hundred seventeen thousand, two hundred eighty".