12405377758500 has 384 divisors, whose sum is σ = 40817582507520. Its totient is φ = 3252172032000.

The previous prime is 12405377758457. The next prime is 12405377758513. The reversal of 12405377758500 is 585777350421.

12405377758500 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 53 + 7 + 7 + 7 + 585 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2728253227 + ... + 2728257773.

It is an arithmetic number, because the mean of its divisors is an integer number (106295787780).

Almost surely, 2^{12405377758500} is an apocalyptic number.

12405377758500 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 12405377758500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408791253760).

12405377758500 is an abundant number, since it is smaller than the sum of its proper divisors (28412204749020).

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

12405377758500 is a wasteful number, since it uses less digits than its factorization.

12405377758500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 12405377758500 in words is "twelve trillion, four hundred five billion, three hundred seventy-seven million, seven hundred fifty-eight thousand, five hundred".