27501027840 has 960 divisors, whose sum is σ = 118718151552. Its totient is φ = 5780275200.

The previous prime is 27501027839. The next prime is 27501027863. The reversal of 27501027840 is 4872010572.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27501027795 and 27501027804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56009995 + ... + 56010485.

Almost surely, 2^27501027840 is an apocalyptic number.

27501027840 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 27501027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59359075776).

27501027840 is an abundant number, since it is smaller than the sum of its proper divisors (91217123712).

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

27501027840 is a wasteful number, since it uses less digits than its factorization.

27501027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 27501027840 in words is "twenty-seven billion, five hundred one million, twenty-seven thousand, eight hundred forty".