27536740771540 has 288 divisors, whose sum is σ = 79145526466944. Its totient is φ = 7910928829440.

The previous prime is 27536740771531. The next prime is 27536740771541. The reversal of 27536740771540 is 4517704763572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27536740771541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94729659 + ... + 95019901.

It is an arithmetic number, because the mean of its divisors is an integer number (274810855788).

Almost surely, 2^{27536740771540} is an apocalyptic number.

27536740771540 is a gapful number since it is divisible by the number (20) 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 27536740771540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39572763233472).

27536740771540 is an abundant number, since it is smaller than the sum of its proper divisors (51608785695404).

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

27536740771540 is a wasteful number, since it uses less digits than its factorization.

27536740771540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290967 (or 290958 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 58.

The spelling of 27536740771540 in words is "twenty-seven trillion, five hundred thirty-six billion, seven hundred forty million, seven hundred seventy-one thousand, five hundred forty".