12485748240 has 240 divisors, whose sum is σ = 49696902528. Its totient is φ = 2853854208.

The previous prime is 12485748229. The next prime is 12485748251. The reversal of 12485748240 is 4284758421.

12485748240 is a `hidden beast` number, since 12 + 48 + 574 + 8 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12485748229) and next prime (12485748251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12485748240² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90204 + ... + 181956.

Almost surely, 2^12485748240 is an apocalyptic number.

12485748240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12485748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848451264).

12485748240 is an abundant number, since it is smaller than the sum of its proper divisors (37211154288).

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

12485748240 is an equidigital number, since it uses as much as digits as its factorization.

12485748240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91788 (or 91770 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12485748240 in words is "twelve billion, four hundred eighty-five million, seven hundred forty-eight thousand, two hundred forty".