27372870613440 has 1792 divisors, whose sum is σ = 114894099578880. Its totient is φ = 6141347942400.

The previous prime is 27372870613423. The next prime is 27372870613469. The reversal of 27372870613440 is 4431607827372.

27372870613440 is a `hidden beast` number, since 2 + 7 + 3 + 72 + 8 + 70 + 61 + 3 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5488842627 + ... + 5488847613.

Almost surely, 2^{27372870613440} is an apocalyptic number.

27372870613440 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 27372870613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57447049789440).

27372870613440 is an abundant number, since it is smaller than the sum of its proper divisors (87521228965440).

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

27372870613440 is a wasteful number, since it uses less digits than its factorization.

27372870613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 27372870613440 in words is "twenty-seven trillion, three hundred seventy-two billion, eight hundred seventy million, six hundred thirteen thousand, four hundred forty".