27133760154840 has 256 divisors, whose sum is σ = 89026573824000. Its totient is φ = 6586165002240.

The previous prime is 27133760154827. The next prime is 27133760154859. The reversal of 27133760154840 is 4845106733172.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99720096 + ... + 99991824.

It is an arithmetic number, because the mean of its divisors is an integer number (347760054000).

Almost surely, 2^{27133760154840} is an apocalyptic number.

27133760154840 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 27133760154840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513286912000).

27133760154840 is an abundant number, since it is smaller than the sum of its proper divisors (61892813669160).

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

27133760154840 is a wasteful number, since it uses less digits than its factorization.

27133760154840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273370 (or 273366 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 27133760154840 in words is "twenty-seven trillion, one hundred thirty-three billion, seven hundred sixty million, one hundred fifty-four thousand, eight hundred forty".