27405570378240 has 800 divisors, whose sum is σ = 103897865111040. Its totient is φ = 6885081907200.

The previous prime is 27405570378239. The next prime is 27405570378271. The reversal of 27405570378240 is 4287307550472.

It is a happy number.

27405570378240 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 557 + 0 + 3 + 7 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 713091825 + ... + 713130255.

Almost surely, 2^{27405570378240} is an apocalyptic number.

27405570378240 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 27405570378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51948932555520).

27405570378240 is an abundant number, since it is smaller than the sum of its proper divisors (76492294732800).

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

27405570378240 is a wasteful number, since it uses less digits than its factorization.

27405570378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38666 (or 38641 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 27405570378240 in words is "twenty-seven trillion, four hundred five billion, five hundred seventy million, three hundred seventy-eight thousand, two hundred forty".