27275028480 has 768 divisors, whose sum is σ = 117464256000. Its totient is φ = 5860491264.

The previous prime is 27275028457. The next prime is 27275028481. The reversal of 27275028480 is 8482057272.

27275028480 is a `hidden beast` number, since 27 + 275 + 0 + 284 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×27275028480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27275028481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32900706 + ... + 32901534.

It is an arithmetic number, because the mean of its divisors is an integer number (152948250).

Almost surely, 2^27275028480 is an apocalyptic number.

27275028480 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 27275028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58732128000).

27275028480 is an abundant number, since it is smaller than the sum of its proper divisors (90189227520).

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

27275028480 is a wasteful number, since it uses less digits than its factorization.

27275028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 27275028480 in words is "twenty-seven billion, two hundred seventy-five million, twenty-eight thousand, four hundred eighty".