24775728048090 has 48 divisors (see below), whose sum is σ = 66157890040008. Its totient is φ = 6428297006208.

The previous prime is 24775728048089. The next prime is 24775728048091. The reversal of 24775728048090 is 9084082757742.

24775728048090 is a `hidden beast` number, since 2 + 4 + 7 + 7 + 5 + 72 + 80 + 480 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (24775728048089) and next prime (24775728048091).

It can be written as a sum of positive squares in 4 ways, for example, as 24497124594849 + 278603453241 = 4949457^2 + 527829^2 .

It is a super-2 number, since 2×24775728048090² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24775728048091) 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, 3720075957 + ... + 3720082616.

Almost surely, 2^{24775728048090} is an apocalyptic number.

24775728048090 is an abundant number, since it is smaller than the sum of its proper divisors (41382161991918).

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

24775728048090 is a wasteful number, since it uses less digits than its factorization.

24775728048090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440158623 (or 7440158620 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 24775728048090 in words is "twenty-four trillion, seven hundred seventy-five billion, seven hundred twenty-eight million, forty-eight thousand, ninety".