27753137040 has 80 divisors (see below), whose sum is σ = 86050742400. Its totient is φ = 7399458816.

The previous prime is 27753137039. The next prime is 27753137047. The reversal of 27753137040 is 4073135772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27753137040² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27753137040.

It is not an unprimeable number, because it can be changed into a prime (27753137047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463741 + ... + 2474979.

It is an arithmetic number, because the mean of its divisors is an integer number (1075634280).

Almost surely, 2^27753137040 is an apocalyptic number.

27753137040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27753137040 is an abundant number, since it is smaller than the sum of its proper divisors (58297605360).

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

27753137040 is a wasteful number, since it uses less digits than its factorization.

27753137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21544 (or 21538 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The spelling of 27753137040 in words is "twenty-seven billion, seven hundred fifty-three million, one hundred thirty-seven thousand, forty".