27146263898880 has 1728 divisors, whose sum is σ = 118120694415360. Its totient is φ = 5830874284032.

The previous prime is 27146263898797. The next prime is 27146263898933. The reversal of 27146263898880 is 8889836264172.

27146263898880 is a `hidden beast` number, since 2 + 7 + 1 + 462 + 6 + 3 + 8 + 9 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27146263898799 and 27146263898808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5253774057 + ... + 5253779223.

Almost surely, 2^{27146263898880} is an apocalyptic number.

27146263898880 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 27146263898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59060347207680).

27146263898880 is an abundant number, since it is smaller than the sum of its proper divisors (90974430516480).

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

27146263898880 is a wasteful number, since it uses less digits than its factorization.

27146263898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 27146263898880 in words is "twenty-seven trillion, one hundred forty-six billion, two hundred sixty-three million, eight hundred ninety-eight thousand, eight hundred eighty".