12762097920 has 864 divisors, whose sum is σ = 53140598784. Its totient is φ = 2786918400.

The previous prime is 12762097919. The next prime is 12762097987. The reversal of 12762097920 is 2979026721.

12762097920 is a `hidden beast` number, since 12 + 7 + 620 + 9 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×12762097920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100488897 + ... + 100489023.

Almost surely, 2^12762097920 is an apocalyptic number.

12762097920 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 12762097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26570299392).

12762097920 is an abundant number, since it is smaller than the sum of its proper divisors (40378500864).

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

12762097920 is a wasteful number, since it uses less digits than its factorization.

12762097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12762097920 in words is "twelve billion, seven hundred sixty-two million, ninety-seven thousand, nine hundred twenty".