12874635990 has 128 divisors (see below), whose sum is σ = 34685475840. Its totient is φ = 3398112000.

The previous prime is 12874635973. The next prime is 12874636003. The reversal of 12874635990 is 9953647821.

12874635990 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 46 + 3 + 599 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18631545 + ... + 18632235.

It is an arithmetic number, because the mean of its divisors is an integer number (270980280).

It is a 1-persistent number, because it is pandigital, but 2⋅12874635990 = 25749271980 is not.

Almost surely, 2^12874635990 is an apocalyptic number.

12874635990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12874635990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342737920).

12874635990 is an abundant number, since it is smaller than the sum of its proper divisors (21810839850).

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

12874635990 is a wasteful number, since it uses less digits than its factorization.

12874635990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12874635990 in words is "twelve billion, eight hundred seventy-four million, six hundred thirty-five thousand, nine hundred ninety".