12772929690 has 240 divisors, whose sum is σ = 36204501960. Its totient is φ = 3230150400.

The previous prime is 12772929649. The next prime is 12772929707. The reversal of 12772929690 is 9692927721.

It can be written as a sum of positive squares in 4 ways, for example, as 3400172721 + 9372756969 = 58311^2 + 96813^2 .

It is a super-2 number, since 2×12772929690² (a number of 21 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 47482876 + ... + 47483144.

Almost surely, 2^12772929690 is an apocalyptic number.

12772929690 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 12772929690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102250980).

12772929690 is an abundant number, since it is smaller than the sum of its proper divisors (23431572270).

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

12772929690 is a wasteful number, since it uses less digits than its factorization.

12772929690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 12772929690 in words is "twelve billion, seven hundred seventy-two million, nine hundred twenty-nine thousand, six hundred ninety".