27901375754560 has 224 divisors, whose sum is σ = 82851217827840. Its totient is φ = 8694774835200.

The previous prime is 27901375754489. The next prime is 27901375754587. The reversal of 27901375754560 is 6545757310972.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124541845 + ... + 124765675.

It is an arithmetic number, because the mean of its divisors is an integer number (369871508160).

Almost surely, 2^{27901375754560} is an apocalyptic number.

27901375754560 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 27901375754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41425608913920).

27901375754560 is an abundant number, since it is smaller than the sum of its proper divisors (54949842073280).

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

27901375754560 is a wasteful number, since it uses less digits than its factorization.

27901375754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228925 (or 228915 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 61.

The spelling of 27901375754560 in words is "twenty-seven trillion, nine hundred one billion, three hundred seventy-five million, seven hundred fifty-four thousand, five hundred sixty".