61152822280728 has 96 divisors (see below), whose sum is σ = 167267141627040. Its totient is φ = 20181835353600.

The previous prime is 61152822280721. The next prime is 61152822280763. The reversal of 61152822280728 is 82708222825116.

61152822280728 is a `hidden beast` number, since 6 + 1 + 1 + 528 + 22 + 28 + 0 + 72 + 8 = 666.

It is a Cunningham number, because it is equal to 7820027²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61152822280721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281412325 + ... + 281629547.

It is an arithmetic number, because the mean of its divisors is an integer number (1742366058615).

Almost surely, 2^{61152822280728} is an apocalyptic number.

It is an amenable number.

61152822280728 is an abundant number, since it is smaller than the sum of its proper divisors (106114319346312).

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

61152822280728 is a wasteful number, since it uses less digits than its factorization.

61152822280728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256049 (or 256042 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 61152822280728 in words is "sixty-one trillion, one hundred fifty-two billion, eight hundred twenty-two million, two hundred eighty thousand, seven hundred twenty-eight".