27992612540032 has 128 divisors (see below), whose sum is σ = 64134120216960. Its totient is φ = 11921385848832.

The previous prime is 27992612539967. The next prime is 27992612540077. The reversal of 27992612540032 is 23004521629972.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27992612540032² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383502588 + ... + 1383522820.

It is an arithmetic number, because the mean of its divisors is an integer number (501047814195).

Almost surely, 2^{27992612540032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27992612540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32067060108480).

27992612540032 is an abundant number, since it is smaller than the sum of its proper divisors (36141507676928).

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

27992612540032 is a wasteful number, since it uses less digits than its factorization.

27992612540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29890 (or 29878 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 27992612540032 in words is "twenty-seven trillion, nine hundred ninety-two billion, six hundred twelve million, five hundred forty thousand, thirty-two".