11762392480 has 72 divisors (see below), whose sum is σ = 29519549388. Its totient is φ = 4428177408.

The previous prime is 11762392459. The next prime is 11762392507. The reversal of 11762392480 is 8429326711.

It can be written as a sum of positive squares in 6 ways, for example, as 11270794896 + 491597584 = 106164^2 + 22172^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 80949 + ... + 173428.

Almost surely, 2^11762392480 is an apocalyptic number.

11762392480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11762392480 is an abundant number, since it is smaller than the sum of its proper divisors (17757156908).

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

11762392480 is a wasteful number, since it uses less digits than its factorization.

11762392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254426 (or 254401 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 11762392480 in words is "eleven billion, seven hundred sixty-two million, three hundred ninety-two thousand, four hundred eighty".