12761954352 has 400 divisors, whose sum is σ = 45372096000. Its totient is φ = 3452077440.

The previous prime is 12761954291. The next prime is 12761954423. The reversal of 12761954352 is 25345916721.

12761954352 is a `hidden beast` number, since 1 + 27 + 6 + 195 + 435 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12761954298 and 12761954307.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8445277 + ... + 8446787.

It is an arithmetic number, because the mean of its divisors is an integer number (113430240).

Almost surely, 2^12761954352 is an apocalyptic number.

12761954352 is a gapful number since it is divisible by the number (12) 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 12761954352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048000).

12761954352 is an abundant number, since it is smaller than the sum of its proper divisors (32610141648).

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

12761954352 is a wasteful number, since it uses less digits than its factorization.

12761954352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1542 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 12761954352 in words is "twelve billion, seven hundred sixty-one million, nine hundred fifty-four thousand, three hundred fifty-two".