27003796512 has 576 divisors, whose sum is σ = 95891765760. Its totient is φ = 6615544320.

The previous prime is 27003796487. The next prime is 27003796517. The reversal of 27003796512 is 21569730072.

It is a super-2 number, since 2×27003796512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27003796517) 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, 118959343 + ... + 118959569.

It is an arithmetic number, because the mean of its divisors is an integer number (166478760).

Almost surely, 2^27003796512 is an apocalyptic number.

27003796512 is a gapful number since it is divisible by the number (22) 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 27003796512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47945882880).

27003796512 is an abundant number, since it is smaller than the sum of its proper divisors (68887969248).

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

27003796512 is a wasteful number, since it uses less digits than its factorization.

27003796512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 27003796512 in words is "twenty-seven billion, three million, seven hundred ninety-six thousand, five hundred twelve".