27961009520640 has 1440 divisors, whose sum is σ = 111771955137024. Its totient is φ = 5929571450880.

The previous prime is 27961009520603. The next prime is 27961009520641. The reversal of 27961009520640 is 4602590016972.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (27961009520641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14944418905 + ... + 14944420775.

Almost surely, 2^{27961009520640} is an apocalyptic number.

27961009520640 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 27961009520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55885977568512).

27961009520640 is an abundant number, since it is smaller than the sum of its proper divisors (83810945616384).

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

27961009520640 is a wasteful number, since it uses less digits than its factorization.

27961009520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 27961009520640 in words is "twenty-seven trillion, nine hundred sixty-one billion, nine million, five hundred twenty thousand, six hundred forty".