12874165920 has 1440 divisors, whose sum is σ = 61318192320. Its totient is φ = 2508226560.

The previous prime is 12874165903. The next prime is 12874165937. The reversal of 12874165920 is 2956147821.

12874165920 is a `hidden beast` number, since 12 + 8 + 7 + 41 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12874165903) and next prime (12874165937).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 132723312 + ... + 132723408.

It is an arithmetic number, because the mean of its divisors is an integer number (42582078).

Almost surely, 2^12874165920 is an apocalyptic number.

12874165920 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 12874165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30659096160).

12874165920 is an abundant number, since it is smaller than the sum of its proper divisors (48444026400).

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

12874165920 is a wasteful number, since it uses less digits than its factorization.

12874165920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12874165920 in words is "twelve billion, eight hundred seventy-four million, one hundred sixty-five thousand, nine hundred twenty".