61107802853904 has 405 divisors, whose sum is σ = 185819479185613. Its totient is φ = 19465073743104.

The previous prime is 61107802853891. The next prime is 61107802853921. The reversal of 61107802853904 is 40935820870116.

The square root of 61107802853904 is 7817148.

It is a perfect power (a square), and thus also a powerful number.

61107802853904 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 7 + 80 + 28 + 539 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55421294924304 + 5686507929600 = 7444548^2 + 2384640^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58253386372 + ... + 58253387420.

It is a 1-persistent number, because it is pandigital, but 2⋅61107802853904 = 122215605707808 is not.

Almost surely, 2^{61107802853904} is an apocalyptic number.

61107802853904 is the 7817148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61107802853904

61107802853904 is an abundant number, since it is smaller than the sum of its proper divisors (124711676331709).

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

61107802853904 is an frugal number, since it uses more digits than its factorization.

61107802853904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 61107802853904 in words is "sixty-one trillion, one hundred seven billion, eight hundred two million, eight hundred fifty-three thousand, nine hundred four".