12749825088 has 1008 divisors, whose sum is σ = 52141648320. Its totient is φ = 3056901120.

The previous prime is 12749825069. The next prime is 12749825107. The reversal of 12749825088 is 88052894721.

12749825088 is a `hidden beast` number, since 1 + 27 + 498 + 2 + 50 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (12749825069) and next prime (12749825107).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 980755770 + ... + 980755782.

Almost surely, 2^12749825088 is an apocalyptic number.

12749825088 is a gapful number since it is divisible by the number (18) 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 12749825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070824160).

12749825088 is an abundant number, since it is smaller than the sum of its proper divisors (39391823232).

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

12749825088 is an equidigital number, since it uses as much as digits as its factorization.

12749825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 12749825088 in words is "twelve billion, seven hundred forty-nine million, eight hundred twenty-five thousand, eighty-eight".