12488095620 has 1152 divisors, whose sum is σ = 56216788992. Its totient is φ = 2239488000.

The previous prime is 12488095579. The next prime is 12488095643. The reversal of 12488095620 is 2659088421.

12488095620 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 80 + 9 + 562 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 82702545 + ... + 82702695.

It is an arithmetic number, because the mean of its divisors is an integer number (48799296).

Almost surely, 2^12488095620 is an apocalyptic number.

12488095620 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 12488095620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108394496).

12488095620 is an abundant number, since it is smaller than the sum of its proper divisors (43728693372).

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

12488095620 is a wasteful number, since it uses less digits than its factorization.

12488095620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12488095620 in words is "twelve billion, four hundred eighty-eight million, ninety-five thousand, six hundred twenty".