13548008072250 has 64 divisors (see below), whose sum is σ = 37573142405760. Its totient is φ = 3612802150800.

The previous prime is 13548008072243. The next prime is 13548008072279. The reversal of 13548008072250 is 5227080084531.

13548008072250 is a `hidden beast` number, since 1 + 3 + 5 + 480 + 0 + 80 + 72 + 25 + 0 = 666.

It is a super-2 number, since 2×13548008072250² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13548008072196 and 13548008072205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003549404 + ... + 1003562903.

It is an arithmetic number, because the mean of its divisors is an integer number (587080350090).

Almost surely, 2^{13548008072250} is an apocalyptic number.

13548008072250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13548008072250 is an abundant number, since it is smaller than the sum of its proper divisors (24025134333510).

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

13548008072250 is a wasteful number, since it uses less digits than its factorization.

13548008072250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007112333 (or 2007112317 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 13548008072250 in words is "thirteen trillion, five hundred forty-eight billion, eight million, seventy-two thousand, two hundred fifty".