1248525830880 has 96 divisors (see below), whose sum is σ = 4369840423200. Its totient is φ = 332940220416.

The previous prime is 1248525830879. The next prime is 1248525830887. The reversal of 1248525830880 is 880385258421.

1248525830880 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 5 + 258 + 308 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248525830887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144500985 + ... + 144509624.

It is an arithmetic number, because the mean of its divisors is an integer number (45519171075).

Almost surely, 2^{1248525830880} is an apocalyptic number.

1248525830880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248525830880 is an abundant number, since it is smaller than the sum of its proper divisors (3121314592320).

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

1248525830880 is a wasteful number, since it uses less digits than its factorization.

1248525830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289010633 (or 289010619 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 1248525830880 in words is "one trillion, two hundred forty-eight billion, five hundred twenty-five million, eight hundred thirty thousand, eight hundred eighty".